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Simplifying -10 = -2(1 + -3r) + -9r -10 = (1 * -2 + -3r * -2) + -9r -10 = (-2 + 6r) + -9r Combine like terms: 6r + -9r = -3r -10 = -2 + -3r Solving -10 = -2 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. -10 + 3r = -2 + -3r + 3r Combine like terms: -3r + 3r = 0 -10 + 3r = -2 + 0 -10 + 3r = -2 Add '10' to each side of the equation. -10 + 10 + 3r = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 3r = -2 + 10 3r = -2 + 10 Combine like terms: -2 + 10 = 8 3r = 8 Divide each side by '3'. r = 2.666666667 Simplifying r = 2.666666667
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