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Simplifying 10r + -3(r + 3) = 3(3r + -3) + -12 Reorder the terms: 10r + -3(3 + r) = 3(3r + -3) + -12 10r + (3 * -3 + r * -3) = 3(3r + -3) + -12 10r + (-9 + -3r) = 3(3r + -3) + -12 Reorder the terms: -9 + 10r + -3r = 3(3r + -3) + -12 Combine like terms: 10r + -3r = 7r -9 + 7r = 3(3r + -3) + -12 Reorder the terms: -9 + 7r = 3(-3 + 3r) + -12 -9 + 7r = (-3 * 3 + 3r * 3) + -12 -9 + 7r = (-9 + 9r) + -12 Reorder the terms: -9 + 7r = -9 + -12 + 9r Combine like terms: -9 + -12 = -21 -9 + 7r = -21 + 9r Solving -9 + 7r = -21 + 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. -9 + 7r + -9r = -21 + 9r + -9r Combine like terms: 7r + -9r = -2r -9 + -2r = -21 + 9r + -9r Combine like terms: 9r + -9r = 0 -9 + -2r = -21 + 0 -9 + -2r = -21 Add '9' to each side of the equation. -9 + 9 + -2r = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -2r = -21 + 9 -2r = -21 + 9 Combine like terms: -21 + 9 = -12 -2r = -12 Divide each side by '-2'. r = 6 Simplifying r = 6
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