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Simplifying -2(z + 4) = -1(z + -5) Reorder the terms: -2(4 + z) = -1(z + -5) (4 * -2 + z * -2) = -1(z + -5) (-8 + -2z) = -1(z + -5) Reorder the terms: -8 + -2z = -1(-5 + z) -8 + -2z = (-5 * -1 + z * -1) -8 + -2z = (5 + -1z) Solving -8 + -2z = 5 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -8 + -2z + z = 5 + -1z + z Combine like terms: -2z + z = -1z -8 + -1z = 5 + -1z + z Combine like terms: -1z + z = 0 -8 + -1z = 5 + 0 -8 + -1z = 5 Add '8' to each side of the equation. -8 + 8 + -1z = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -1z = 5 + 8 -1z = 5 + 8 Combine like terms: 5 + 8 = 13 -1z = 13 Divide each side by '-1'. z = -13 Simplifying z = -13
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