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Simplifying 4 + 3(z + -6) = 5(3z + 11) Reorder the terms: 4 + 3(-6 + z) = 5(3z + 11) 4 + (-6 * 3 + z * 3) = 5(3z + 11) 4 + (-18 + 3z) = 5(3z + 11) Combine like terms: 4 + -18 = -14 -14 + 3z = 5(3z + 11) Reorder the terms: -14 + 3z = 5(11 + 3z) -14 + 3z = (11 * 5 + 3z * 5) -14 + 3z = (55 + 15z) Solving -14 + 3z = 55 + 15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15z' to each side of the equation. -14 + 3z + -15z = 55 + 15z + -15z Combine like terms: 3z + -15z = -12z -14 + -12z = 55 + 15z + -15z Combine like terms: 15z + -15z = 0 -14 + -12z = 55 + 0 -14 + -12z = 55 Add '14' to each side of the equation. -14 + 14 + -12z = 55 + 14 Combine like terms: -14 + 14 = 0 0 + -12z = 55 + 14 -12z = 55 + 14 Combine like terms: 55 + 14 = 69 -12z = 69 Divide each side by '-12'. z = -5.75 Simplifying z = -5.75
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