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Simplifying -4(2z + 3) = 33 + 7z + 15 Reorder the terms: -4(3 + 2z) = 33 + 7z + 15 (3 * -4 + 2z * -4) = 33 + 7z + 15 (-12 + -8z) = 33 + 7z + 15 Reorder the terms: -12 + -8z = 33 + 15 + 7z Combine like terms: 33 + 15 = 48 -12 + -8z = 48 + 7z Solving -12 + -8z = 48 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -12 + -8z + -7z = 48 + 7z + -7z Combine like terms: -8z + -7z = -15z -12 + -15z = 48 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + -15z = 48 + 0 -12 + -15z = 48 Add '12' to each side of the equation. -12 + 12 + -15z = 48 + 12 Combine like terms: -12 + 12 = 0 0 + -15z = 48 + 12 -15z = 48 + 12 Combine like terms: 48 + 12 = 60 -15z = 60 Divide each side by '-15'. z = -4 Simplifying z = -4
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