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Simplifying -3(2r + -3) + 3r = -21 + 7r Reorder the terms: -3(-3 + 2r) + 3r = -21 + 7r (-3 * -3 + 2r * -3) + 3r = -21 + 7r (9 + -6r) + 3r = -21 + 7r Combine like terms: -6r + 3r = -3r 9 + -3r = -21 + 7r Solving 9 + -3r = -21 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 9 + -3r + -7r = -21 + 7r + -7r Combine like terms: -3r + -7r = -10r 9 + -10r = -21 + 7r + -7r Combine like terms: 7r + -7r = 0 9 + -10r = -21 + 0 9 + -10r = -21 Add '-9' to each side of the equation. 9 + -9 + -10r = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -10r = -21 + -9 -10r = -21 + -9 Combine like terms: -21 + -9 = -30 -10r = -30 Divide each side by '-10'. r = 3 Simplifying r = 3
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