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Simplifying 28 = 3 + 8(z + -7) Reorder the terms: 28 = 3 + 8(-7 + z) 28 = 3 + (-7 * 8 + z * 8) 28 = 3 + (-56 + 8z) Combine like terms: 3 + -56 = -53 28 = -53 + 8z Solving 28 = -53 + 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. 28 + -8z = -53 + 8z + -8z Combine like terms: 8z + -8z = 0 28 + -8z = -53 + 0 28 + -8z = -53 Add '-28' to each side of the equation. 28 + -28 + -8z = -53 + -28 Combine like terms: 28 + -28 = 0 0 + -8z = -53 + -28 -8z = -53 + -28 Combine like terms: -53 + -28 = -81 -8z = -81 Divide each side by '-8'. z = 10.125 Simplifying z = 10.125
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