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Simplifying 3(z + -21) = 39 + -3(z + -4) Reorder the terms: 3(-21 + z) = 39 + -3(z + -4) (-21 * 3 + z * 3) = 39 + -3(z + -4) (-63 + 3z) = 39 + -3(z + -4) Reorder the terms: -63 + 3z = 39 + -3(-4 + z) -63 + 3z = 39 + (-4 * -3 + z * -3) -63 + 3z = 39 + (12 + -3z) Combine like terms: 39 + 12 = 51 -63 + 3z = 51 + -3z Solving -63 + 3z = 51 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -63 + 3z + 3z = 51 + -3z + 3z Combine like terms: 3z + 3z = 6z -63 + 6z = 51 + -3z + 3z Combine like terms: -3z + 3z = 0 -63 + 6z = 51 + 0 -63 + 6z = 51 Add '63' to each side of the equation. -63 + 63 + 6z = 51 + 63 Combine like terms: -63 + 63 = 0 0 + 6z = 51 + 63 6z = 51 + 63 Combine like terms: 51 + 63 = 114 6z = 114 Divide each side by '6'. z = 19 Simplifying z = 19
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