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Simplifying 10 = -7r + -1(9r + 2) Reorder the terms: 10 = -7r + -1(2 + 9r) 10 = -7r + (2 * -1 + 9r * -1) 10 = -7r + (-2 + -9r) Reorder the terms: 10 = -2 + -7r + -9r Combine like terms: -7r + -9r = -16r 10 = -2 + -16r Solving 10 = -2 + -16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '16r' to each side of the equation. 10 + 16r = -2 + -16r + 16r Combine like terms: -16r + 16r = 0 10 + 16r = -2 + 0 10 + 16r = -2 Add '-10' to each side of the equation. 10 + -10 + 16r = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 16r = -2 + -10 16r = -2 + -10 Combine like terms: -2 + -10 = -12 16r = -12 Divide each side by '16'. r = -0.75 Simplifying r = -0.75
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