Question

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4 ( n + 5 ) = 8 n=____

4 ( p - 1 ) + 5 ( p + 1 ) = 100 p=____

5z - 7 = 13 - 3z z=____

4 ( x + 3 ) = 6 ( x - 1 ) x=____

7 ( k + 3 ) = 45 - 3 ( 12 - k ) k=____

2 ( m + 2.5 ) = 4 ( m - 0.5 ) m=____

Answer 1

4(n+5)  = 8
4n +20 = 8   ⇒ 4n = 8-20
4n = -12 ⇒n = -12/4  = -3

4(p-1) +5(p+1) = 100
4p-4+5p+5 = 100
9p +1 =100
9p 0100-1
9p =99
p =99/9
p = 11
5z-7= 13-3z
5z+3z = 13+7
8z = 20
z = 20/8  simplificando
z = 5/2
4(x+3) = 6(x-1)
4x+12 = 6x-6
4x-6x = -6-12
-2x = -18
x = -18/-2
x =9
7(k+3) = 45-3(12-k)
7k+21 = 45-36+3k
7k-3k = 9-21
4k = -12
k = -12/4
k = -3
2(m+2.5) = 4(m-0.5)
2m +5 = 4m -2
2m-4m = -2-5
-2m = -7
m = -7/2
M = 7/2