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Simplifying 119 = -10(r + 13) + 9(1 + 10r) Reorder the terms: 119 = -10(13 + r) + 9(1 + 10r) 119 = (13 * -10 + r * -10) + 9(1 + 10r) 119 = (-130 + -10r) + 9(1 + 10r) 119 = -130 + -10r + (1 * 9 + 10r * 9) 119 = -130 + -10r + (9 + 90r) Reorder the terms: 119 = -130 + 9 + -10r + 90r Combine like terms: -130 + 9 = -121 119 = -121 + -10r + 90r Combine like terms: -10r + 90r = 80r 119 = -121 + 80r Solving 119 = -121 + 80r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-80r' to each side of the equation. 119 + -80r = -121 + 80r + -80r Combine like terms: 80r + -80r = 0 119 + -80r = -121 + 0 119 + -80r = -121 Add '-119' to each side of the equation. 119 + -119 + -80r = -121 + -119 Combine like terms: 119 + -119 = 0 0 + -80r = -121 + -119 -80r = -121 + -119 Combine like terms: -121 + -119 = -240 -80r = -240 Divide each side by '-80'. r = 3 Simplifying r = 3
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