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Simplifying 6(14z + -16) = -5(12 + -18z) Reorder the terms: 6(-16 + 14z) = -5(12 + -18z) (-16 * 6 + 14z * 6) = -5(12 + -18z) (-96 + 84z) = -5(12 + -18z) -96 + 84z = (12 * -5 + -18z * -5) -96 + 84z = (-60 + 90z) Solving -96 + 84z = -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. -96 + 84z + -90z = -60 + 90z + -90z Combine like terms: 84z + -90z = -6z -96 + -6z = -60 + 90z + -90z Combine like terms: 90z + -90z = 0 -96 + -6z = -60 + 0 -96 + -6z = -60 Add '96' to each side of the equation. -96 + 96 + -6z = -60 + 96 Combine like terms: -96 + 96 = 0 0 + -6z = -60 + 96 -6z = -60 + 96 Combine like terms: -60 + 96 = 36 -6z = 36 Divide each side by '-6'. z = -6 Simplifying z = -6
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