[8(z+4)-15]-[3(z-3)+2]=

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Solution for [8(z+4)-15]-[3(z-3)+2]= equation:


Simplifying
[8(z + 4) + -15] + -1[3(z + -3) + 2] = 0

Reorder the terms:
[8(4 + z) + -15] + -1[3(z + -3) + 2] = 0
[(4 * 8 + z * 8) + -15] + -1[3(z + -3) + 2] = 0
[(32 + 8z) + -15] + -1[3(z + -3) + 2] = 0

Reorder the terms:
[32 + -15 + 8z] + -1[3(z + -3) + 2] = 0

Combine like terms: 32 + -15 = 17
[17 + 8z] + -1[3(z + -3) + 2] = 0

Remove brackets around [17 + 8z]
17 + 8z + -1[3(z + -3) + 2] = 0

Reorder the terms:
17 + 8z + -1[3(-3 + z) + 2] = 0
17 + 8z + -1[(-3 * 3 + z * 3) + 2] = 0
17 + 8z + -1[(-9 + 3z) + 2] = 0

Reorder the terms:
17 + 8z + -1[-9 + 2 + 3z] = 0

Combine like terms: -9 + 2 = -7
17 + 8z + -1[-7 + 3z] = 0
17 + 8z + [-7 * -1 + 3z * -1] = 0
17 + 8z + [7 + -3z] = 0

Reorder the terms:
17 + 7 + 8z + -3z = 0

Combine like terms: 17 + 7 = 24
24 + 8z + -3z = 0

Combine like terms: 8z + -3z = 5z
24 + 5z = 0

Solving
24 + 5z = 0

Solving for variable 'z'.

Move all terms containing z to the left, all other terms to the right.

Add '-24' to each side of the equation.
24 + -24 + 5z = 0 + -24

Combine like terms: 24 + -24 = 0
0 + 5z = 0 + -24
5z = 0 + -24

Combine like terms: 0 + -24 = -24
5z = -24

Divide each side by '5'.
z = -4.8

Simplifying
z = -4.8

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