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Simplifying 3(z + -64) = 9(z + -76) Reorder the terms: 3(-64 + z) = 9(z + -76) (-64 * 3 + z * 3) = 9(z + -76) (-192 + 3z) = 9(z + -76) Reorder the terms: -192 + 3z = 9(-76 + z) -192 + 3z = (-76 * 9 + z * 9) -192 + 3z = (-684 + 9z) Solving -192 + 3z = -684 + 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. -192 + 3z + -9z = -684 + 9z + -9z Combine like terms: 3z + -9z = -6z -192 + -6z = -684 + 9z + -9z Combine like terms: 9z + -9z = 0 -192 + -6z = -684 + 0 -192 + -6z = -684 Add '192' to each side of the equation. -192 + 192 + -6z = -684 + 192 Combine like terms: -192 + 192 = 0 0 + -6z = -684 + 192 -6z = -684 + 192 Combine like terms: -684 + 192 = -492 -6z = -492 Divide each side by '-6'. z = 82 Simplifying z = 82
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