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Simplifying -3(z + 5) = -2(z + 1) Reorder the terms: -3(5 + z) = -2(z + 1) (5 * -3 + z * -3) = -2(z + 1) (-15 + -3z) = -2(z + 1) Reorder the terms: -15 + -3z = -2(1 + z) -15 + -3z = (1 * -2 + z * -2) -15 + -3z = (-2 + -2z) Solving -15 + -3z = -2 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -15 + -3z + 2z = -2 + -2z + 2z Combine like terms: -3z + 2z = -1z -15 + -1z = -2 + -2z + 2z Combine like terms: -2z + 2z = 0 -15 + -1z = -2 + 0 -15 + -1z = -2 Add '15' to each side of the equation. -15 + 15 + -1z = -2 + 15 Combine like terms: -15 + 15 = 0 0 + -1z = -2 + 15 -1z = -2 + 15 Combine like terms: -2 + 15 = 13 -1z = 13 Divide each side by '-1'. z = -13 Simplifying z = -13
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