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Simplifying 4(z + -12) = z + -9 Reorder the terms: 4(-12 + z) = z + -9 (-12 * 4 + z * 4) = z + -9 (-48 + 4z) = z + -9 Reorder the terms: -48 + 4z = -9 + z Solving -48 + 4z = -9 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -48 + 4z + -1z = -9 + z + -1z Combine like terms: 4z + -1z = 3z -48 + 3z = -9 + z + -1z Combine like terms: z + -1z = 0 -48 + 3z = -9 + 0 -48 + 3z = -9 Add '48' to each side of the equation. -48 + 48 + 3z = -9 + 48 Combine like terms: -48 + 48 = 0 0 + 3z = -9 + 48 3z = -9 + 48 Combine like terms: -9 + 48 = 39 3z = 39 Divide each side by '3'. z = 13 Simplifying z = 13
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