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Simplifying 6(17z + -2) = -5(-18z + 12) Reorder the terms: 6(-2 + 17z) = -5(-18z + 12) (-2 * 6 + 17z * 6) = -5(-18z + 12) (-12 + 102z) = -5(-18z + 12) Reorder the terms: -12 + 102z = -5(12 + -18z) -12 + 102z = (12 * -5 + -18z * -5) -12 + 102z = (-60 + 90z) Solving -12 + 102z = -60 + 90z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-90z' to each side of the equation. -12 + 102z + -90z = -60 + 90z + -90z Combine like terms: 102z + -90z = 12z -12 + 12z = -60 + 90z + -90z Combine like terms: 90z + -90z = 0 -12 + 12z = -60 + 0 -12 + 12z = -60 Add '12' to each side of the equation. -12 + 12 + 12z = -60 + 12 Combine like terms: -12 + 12 = 0 0 + 12z = -60 + 12 12z = -60 + 12 Combine like terms: -60 + 12 = -48 12z = -48 Divide each side by '12'. z = -4 Simplifying z = -4
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