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Simplifying 5z + 130 = 8z + 151 Reorder the terms: 130 + 5z = 8z + 151 Reorder the terms: 130 + 5z = 151 + 8z Solving 130 + 5z = 151 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 130 + 5z + -8z = 151 + 8z + -8z Combine like terms: 5z + -8z = -3z 130 + -3z = 151 + 8z + -8z Combine like terms: 8z + -8z = 0 130 + -3z = 151 + 0 130 + -3z = 151 Add '-130' to each side of the equation. 130 + -130 + -3z = 151 + -130 Combine like terms: 130 + -130 = 0 0 + -3z = 151 + -130 -3z = 151 + -130 Combine like terms: 151 + -130 = 21 -3z = 21 Divide each side by '-3'. z = -7 Simplifying z = -7
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