1+3(-5z-3)=-5(5z+6)+3

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Solution for 1+3(-5z-3)=-5(5z+6)+3 equation: 


Simplifying
1 + 3(-5z + -3) = -5(5z + 6) + 3

Reorder the terms:
1 + 3(-3 + -5z) = -5(5z + 6) + 3
1 + (-3 * 3 + -5z * 3) = -5(5z + 6) + 3
1 + (-9 + -15z) = -5(5z + 6) + 3

Combine like terms: 1 + -9 = -8
-8 + -15z = -5(5z + 6) + 3

Reorder the terms:
-8 + -15z = -5(6 + 5z) + 3
-8 + -15z = (6 * -5 + 5z * -5) + 3
-8 + -15z = (-30 + -25z) + 3

Reorder the terms:
-8 + -15z = -30 + 3 + -25z

Combine like terms: -30 + 3 = -27
-8 + -15z = -27 + -25z

Solving
-8 + -15z = -27 + -25z

Solving for variable 'z'.

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

Add '25z' to each side of the equation.
-8 + -15z + 25z = -27 + -25z + 25z

Combine like terms: -15z + 25z = 10z
-8 + 10z = -27 + -25z + 25z

Combine like terms: -25z + 25z = 0
-8 + 10z = -27 + 0
-8 + 10z = -27

Add '8' to each side of the equation.
-8 + 8 + 10z = -27 + 8

Combine like terms: -8 + 8 = 0
0 + 10z = -27 + 8
10z = -27 + 8

Combine like terms: -27 + 8 = -19
10z = -19

Divide each side by '10'.
z = -1.9

Simplifying
z = -1.9

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