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Simplifying 12 = 4(z + -12) + 1 Reorder the terms: 12 = 4(-12 + z) + 1 12 = (-12 * 4 + z * 4) + 1 12 = (-48 + 4z) + 1 Reorder the terms: 12 = -48 + 1 + 4z Combine like terms: -48 + 1 = -47 12 = -47 + 4z Solving 12 = -47 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 12 + -4z = -47 + 4z + -4z Combine like terms: 4z + -4z = 0 12 + -4z = -47 + 0 12 + -4z = -47 Add '-12' to each side of the equation. 12 + -12 + -4z = -47 + -12 Combine like terms: 12 + -12 = 0 0 + -4z = -47 + -12 -4z = -47 + -12 Combine like terms: -47 + -12 = -59 -4z = -59 Divide each side by '-4'. z = 14.75 Simplifying z = 14.75
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