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Simplifying 7 + -3(19z + -17) = -4(-2z + 18) Reorder the terms: 7 + -3(-17 + 19z) = -4(-2z + 18) 7 + (-17 * -3 + 19z * -3) = -4(-2z + 18) 7 + (51 + -57z) = -4(-2z + 18) Combine like terms: 7 + 51 = 58 58 + -57z = -4(-2z + 18) Reorder the terms: 58 + -57z = -4(18 + -2z) 58 + -57z = (18 * -4 + -2z * -4) 58 + -57z = (-72 + 8z) Solving 58 + -57z = -72 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 58 + -57z + -8z = -72 + 8z + -8z Combine like terms: -57z + -8z = -65z 58 + -65z = -72 + 8z + -8z Combine like terms: 8z + -8z = 0 58 + -65z = -72 + 0 58 + -65z = -72 Add '-58' to each side of the equation. 58 + -58 + -65z = -72 + -58 Combine like terms: 58 + -58 = 0 0 + -65z = -72 + -58 -65z = -72 + -58 Combine like terms: -72 + -58 = -130 -65z = -130 Divide each side by '-65'. z = 2 Simplifying z = 2
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