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Simplifying 5 + 3(z + -6) = 45 Reorder the terms: 5 + 3(-6 + z) = 45 5 + (-6 * 3 + z * 3) = 45 5 + (-18 + 3z) = 45 Combine like terms: 5 + -18 = -13 -13 + 3z = 45 Solving -13 + 3z = 45 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 3z = 45 + 13 Combine like terms: -13 + 13 = 0 0 + 3z = 45 + 13 3z = 45 + 13 Combine like terms: 45 + 13 = 58 3z = 58 Divide each side by '3'. z = 19.33333333 Simplifying z = 19.33333333
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