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Simplifying 6(z + -1) = 9(z + -4) Reorder the terms: 6(-1 + z) = 9(z + -4) (-1 * 6 + z * 6) = 9(z + -4) (-6 + 6z) = 9(z + -4) Reorder the terms: -6 + 6z = 9(-4 + z) -6 + 6z = (-4 * 9 + z * 9) -6 + 6z = (-36 + 9z) Solving -6 + 6z = -36 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. -6 + 6z + -9z = -36 + 9z + -9z Combine like terms: 6z + -9z = -3z -6 + -3z = -36 + 9z + -9z Combine like terms: 9z + -9z = 0 -6 + -3z = -36 + 0 -6 + -3z = -36 Add '6' to each side of the equation. -6 + 6 + -3z = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -3z = -36 + 6 -3z = -36 + 6 Combine like terms: -36 + 6 = -30 -3z = -30 Divide each side by '-3'. z = 10 Simplifying z = 10
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