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Simplifying 13z + -2 = 2(7z + -5) Reorder the terms: -2 + 13z = 2(7z + -5) Reorder the terms: -2 + 13z = 2(-5 + 7z) -2 + 13z = (-5 * 2 + 7z * 2) -2 + 13z = (-10 + 14z) Solving -2 + 13z = -10 + 14z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-14z' to each side of the equation. -2 + 13z + -14z = -10 + 14z + -14z Combine like terms: 13z + -14z = -1z -2 + -1z = -10 + 14z + -14z Combine like terms: 14z + -14z = 0 -2 + -1z = -10 + 0 -2 + -1z = -10 Add '2' to each side of the equation. -2 + 2 + -1z = -10 + 2 Combine like terms: -2 + 2 = 0 0 + -1z = -10 + 2 -1z = -10 + 2 Combine like terms: -10 + 2 = -8 -1z = -8 Divide each side by '-1'. z = 8 Simplifying z = 8
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