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Simplifying 4(2z + -3) = 7(z + 4) Reorder the terms: 4(-3 + 2z) = 7(z + 4) (-3 * 4 + 2z * 4) = 7(z + 4) (-12 + 8z) = 7(z + 4) Reorder the terms: -12 + 8z = 7(4 + z) -12 + 8z = (4 * 7 + z * 7) -12 + 8z = (28 + 7z) Solving -12 + 8z = 28 + 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 = 28 + 7z + -7z Combine like terms: 8z + -7z = 1z -12 + 1z = 28 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + 1z = 28 + 0 -12 + 1z = 28 Add '12' to each side of the equation. -12 + 12 + 1z = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 1z = 28 + 12 1z = 28 + 12 Combine like terms: 28 + 12 = 40 1z = 40 Divide each side by '1'. z = 40 Simplifying z = 40
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