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Simplifying 3(z + -5) = 7(z + -1) Reorder the terms: 3(-5 + z) = 7(z + -1) (-5 * 3 + z * 3) = 7(z + -1) (-15 + 3z) = 7(z + -1) Reorder the terms: -15 + 3z = 7(-1 + z) -15 + 3z = (-1 * 7 + z * 7) -15 + 3z = (-7 + 7z) Solving -15 + 3z = -7 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -15 + 3z + -7z = -7 + 7z + -7z Combine like terms: 3z + -7z = -4z -15 + -4z = -7 + 7z + -7z Combine like terms: 7z + -7z = 0 -15 + -4z = -7 + 0 -15 + -4z = -7 Add '15' to each side of the equation. -15 + 15 + -4z = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -4z = -7 + 15 -4z = -7 + 15 Combine like terms: -7 + 15 = 8 -4z = 8 Divide each side by '-4'. z = -2 Simplifying z = -2
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