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Simplifying 13 = 4(z + 1) + -7 Reorder the terms: 13 = 4(1 + z) + -7 13 = (1 * 4 + z * 4) + -7 13 = (4 + 4z) + -7 Reorder the terms: 13 = 4 + -7 + 4z Combine like terms: 4 + -7 = -3 13 = -3 + 4z Solving 13 = -3 + 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 = -3 + 4z + -4z Combine like terms: 4z + -4z = 0 13 + -4z = -3 + 0 13 + -4z = -3 Add '-13' to each side of the equation. 13 + -13 + -4z = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -4z = -3 + -13 -4z = -3 + -13 Combine like terms: -3 + -13 = -16 -4z = -16 Divide each side by '-4'. z = 4 Simplifying z = 4
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