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Simplifying 15 + -10(-12z + 17) = 15 + 10(-12z + -17) Reorder the terms: 15 + -10(17 + -12z) = 15 + 10(-12z + -17) 15 + (17 * -10 + -12z * -10) = 15 + 10(-12z + -17) 15 + (-170 + 120z) = 15 + 10(-12z + -17) Combine like terms: 15 + -170 = -155 -155 + 120z = 15 + 10(-12z + -17) Reorder the terms: -155 + 120z = 15 + 10(-17 + -12z) -155 + 120z = 15 + (-17 * 10 + -12z * 10) -155 + 120z = 15 + (-170 + -120z) Combine like terms: 15 + -170 = -155 -155 + 120z = -155 + -120z Add '155' to each side of the equation. -155 + 155 + 120z = -155 + 155 + -120z Combine like terms: -155 + 155 = 0 0 + 120z = -155 + 155 + -120z 120z = -155 + 155 + -120z Combine like terms: -155 + 155 = 0 120z = 0 + -120z 120z = -120z Solving 120z = -120z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '120z' to each side of the equation. 120z + 120z = -120z + 120z Combine like terms: 120z + 120z = 240z 240z = -120z + 120z Combine like terms: -120z + 120z = 0 240z = 0 Divide each side by '240'. z = 0 Simplifying z = 0
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