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Simplifying 1 + 8(-2 + 3) = -1(3z + -1) + -7 Combine like terms: -2 + 3 = 1 1 + 8(1) = -1(3z + -1) + -7 Multiply 8 * 1 1 + 8 = -1(3z + -1) + -7 Combine like terms: 1 + 8 = 9 9 = -1(3z + -1) + -7 Reorder the terms: 9 = -1(-1 + 3z) + -7 9 = (-1 * -1 + 3z * -1) + -7 9 = (1 + -3z) + -7 Reorder the terms: 9 = 1 + -7 + -3z Combine like terms: 1 + -7 = -6 9 = -6 + -3z Solving 9 = -6 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 9 + 3z = -6 + -3z + 3z Combine like terms: -3z + 3z = 0 9 + 3z = -6 + 0 9 + 3z = -6 Add '-9' to each side of the equation. 9 + -9 + 3z = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 3z = -6 + -9 3z = -6 + -9 Combine like terms: -6 + -9 = -15 3z = -15 Divide each side by '3'. z = -5 Simplifying z = -5
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