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Simplifying 163 = 3(-8r + 7) + -2 Reorder the terms: 163 = 3(7 + -8r) + -2 163 = (7 * 3 + -8r * 3) + -2 163 = (21 + -24r) + -2 Reorder the terms: 163 = 21 + -2 + -24r Combine like terms: 21 + -2 = 19 163 = 19 + -24r Solving 163 = 19 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 163 + 24r = 19 + -24r + 24r Combine like terms: -24r + 24r = 0 163 + 24r = 19 + 0 163 + 24r = 19 Add '-163' to each side of the equation. 163 + -163 + 24r = 19 + -163 Combine like terms: 163 + -163 = 0 0 + 24r = 19 + -163 24r = 19 + -163 Combine like terms: 19 + -163 = -144 24r = -144 Divide each side by '24'. r = -6 Simplifying r = -6
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