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Simplifying 2(z + -7) = 5(z + 1) + -13 Reorder the terms: 2(-7 + z) = 5(z + 1) + -13 (-7 * 2 + z * 2) = 5(z + 1) + -13 (-14 + 2z) = 5(z + 1) + -13 Reorder the terms: -14 + 2z = 5(1 + z) + -13 -14 + 2z = (1 * 5 + z * 5) + -13 -14 + 2z = (5 + 5z) + -13 Reorder the terms: -14 + 2z = 5 + -13 + 5z Combine like terms: 5 + -13 = -8 -14 + 2z = -8 + 5z Solving -14 + 2z = -8 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -14 + 2z + -5z = -8 + 5z + -5z Combine like terms: 2z + -5z = -3z -14 + -3z = -8 + 5z + -5z Combine like terms: 5z + -5z = 0 -14 + -3z = -8 + 0 -14 + -3z = -8 Add '14' to each side of the equation. -14 + 14 + -3z = -8 + 14 Combine like terms: -14 + 14 = 0 0 + -3z = -8 + 14 -3z = -8 + 14 Combine like terms: -8 + 14 = 6 -3z = 6 Divide each side by '-3'. z = -2 Simplifying z = -2
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