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Simplifying 178 = -1r + -4(-1 + 7r) 178 = -1r + (-1 * -4 + 7r * -4) 178 = -1r + (4 + -28r) Reorder the terms: 178 = 4 + -1r + -28r Combine like terms: -1r + -28r = -29r 178 = 4 + -29r Solving 178 = 4 + -29r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '29r' to each side of the equation. 178 + 29r = 4 + -29r + 29r Combine like terms: -29r + 29r = 0 178 + 29r = 4 + 0 178 + 29r = 4 Add '-178' to each side of the equation. 178 + -178 + 29r = 4 + -178 Combine like terms: 178 + -178 = 0 0 + 29r = 4 + -178 29r = 4 + -178 Combine like terms: 4 + -178 = -174 29r = -174 Divide each side by '29'. r = -6 Simplifying r = -6
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