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Simplifying -3(3r + 3) = 5 + -7r Reorder the terms: -3(3 + 3r) = 5 + -7r (3 * -3 + 3r * -3) = 5 + -7r (-9 + -9r) = 5 + -7r Solving -9 + -9r = 5 + -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 + -9r + 7r = 5 + -7r + 7r Combine like terms: -9r + 7r = -2r -9 + -2r = 5 + -7r + 7r Combine like terms: -7r + 7r = 0 -9 + -2r = 5 + 0 -9 + -2r = 5 Add '9' to each side of the equation. -9 + 9 + -2r = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -2r = 5 + 9 -2r = 5 + 9 Combine like terms: 5 + 9 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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