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Simplifying 13 = 4(z + -12) + 1 Reorder the terms: 13 = 4(-12 + z) + 1 13 = (-12 * 4 + z * 4) + 1 13 = (-48 + 4z) + 1 Reorder the terms: 13 = -48 + 1 + 4z Combine like terms: -48 + 1 = -47 13 = -47 + 4z Solving 13 = -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. 13 + -4z = -47 + 4z + -4z Combine like terms: 4z + -4z = 0 13 + -4z = -47 + 0 13 + -4z = -47 Add '-13' to each side of the equation. 13 + -13 + -4z = -47 + -13 Combine like terms: 13 + -13 = 0 0 + -4z = -47 + -13 -4z = -47 + -13 Combine like terms: -47 + -13 = -60 -4z = -60 Divide each side by '-4'. z = 15 Simplifying z = 15
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