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Simplifying 2 + -2(z + -5) = -1(z + 3) Reorder the terms: 2 + -2(-5 + z) = -1(z + 3) 2 + (-5 * -2 + z * -2) = -1(z + 3) 2 + (10 + -2z) = -1(z + 3) Combine like terms: 2 + 10 = 12 12 + -2z = -1(z + 3) Reorder the terms: 12 + -2z = -1(3 + z) 12 + -2z = (3 * -1 + z * -1) 12 + -2z = (-3 + -1z) Solving 12 + -2z = -3 + -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. 12 + -2z + z = -3 + -1z + z Combine like terms: -2z + z = -1z 12 + -1z = -3 + -1z + z Combine like terms: -1z + z = 0 12 + -1z = -3 + 0 12 + -1z = -3 Add '-12' to each side of the equation. 12 + -12 + -1z = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -1z = -3 + -12 -1z = -3 + -12 Combine like terms: -3 + -12 = -15 -1z = -15 Divide each side by '-1'. z = 15 Simplifying z = 15
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