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Simplifying 3(z + -21) + 3(z + -4) = 27 Reorder the terms: 3(-21 + z) + 3(z + -4) = 27 (-21 * 3 + z * 3) + 3(z + -4) = 27 (-63 + 3z) + 3(z + -4) = 27 Reorder the terms: -63 + 3z + 3(-4 + z) = 27 -63 + 3z + (-4 * 3 + z * 3) = 27 -63 + 3z + (-12 + 3z) = 27 Reorder the terms: -63 + -12 + 3z + 3z = 27 Combine like terms: -63 + -12 = -75 -75 + 3z + 3z = 27 Combine like terms: 3z + 3z = 6z -75 + 6z = 27 Solving -75 + 6z = 27 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + 6z = 27 + 75 Combine like terms: -75 + 75 = 0 0 + 6z = 27 + 75 6z = 27 + 75 Combine like terms: 27 + 75 = 102 6z = 102 Divide each side by '6'. z = 17 Simplifying z = 17
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