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Simplifying 61 = 5(r + -2) + -4(5r + 6) Reorder the terms: 61 = 5(-2 + r) + -4(5r + 6) 61 = (-2 * 5 + r * 5) + -4(5r + 6) 61 = (-10 + 5r) + -4(5r + 6) Reorder the terms: 61 = -10 + 5r + -4(6 + 5r) 61 = -10 + 5r + (6 * -4 + 5r * -4) 61 = -10 + 5r + (-24 + -20r) Reorder the terms: 61 = -10 + -24 + 5r + -20r Combine like terms: -10 + -24 = -34 61 = -34 + 5r + -20r Combine like terms: 5r + -20r = -15r 61 = -34 + -15r Solving 61 = -34 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. 61 + 15r = -34 + -15r + 15r Combine like terms: -15r + 15r = 0 61 + 15r = -34 + 0 61 + 15r = -34 Add '-61' to each side of the equation. 61 + -61 + 15r = -34 + -61 Combine like terms: 61 + -61 = 0 0 + 15r = -34 + -61 15r = -34 + -61 Combine like terms: -34 + -61 = -95 15r = -95 Divide each side by '15'. r = -6.333333333 Simplifying r = -6.333333333
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