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Simplifying 10 + 2r = -3(6 + -3r) 10 + 2r = (6 * -3 + -3r * -3) 10 + 2r = (-18 + 9r) Solving 10 + 2r = -18 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 10 + 2r + -9r = -18 + 9r + -9r Combine like terms: 2r + -9r = -7r 10 + -7r = -18 + 9r + -9r Combine like terms: 9r + -9r = 0 10 + -7r = -18 + 0 10 + -7r = -18 Add '-10' to each side of the equation. 10 + -10 + -7r = -18 + -10 Combine like terms: 10 + -10 = 0 0 + -7r = -18 + -10 -7r = -18 + -10 Combine like terms: -18 + -10 = -28 -7r = -28 Divide each side by '-7'. r = 4 Simplifying r = 4
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