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Simplifying -15 + z = 4(3z + -2) + 37 Reorder the terms: -15 + z = 4(-2 + 3z) + 37 -15 + z = (-2 * 4 + 3z * 4) + 37 -15 + z = (-8 + 12z) + 37 Reorder the terms: -15 + z = -8 + 37 + 12z Combine like terms: -8 + 37 = 29 -15 + z = 29 + 12z Solving -15 + z = 29 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -15 + z + -12z = 29 + 12z + -12z Combine like terms: z + -12z = -11z -15 + -11z = 29 + 12z + -12z Combine like terms: 12z + -12z = 0 -15 + -11z = 29 + 0 -15 + -11z = 29 Add '15' to each side of the equation. -15 + 15 + -11z = 29 + 15 Combine like terms: -15 + 15 = 0 0 + -11z = 29 + 15 -11z = 29 + 15 Combine like terms: 29 + 15 = 44 -11z = 44 Divide each side by '-11'. z = -4 Simplifying z = -4
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