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Simplifying 9r + -2(r + 2) = 5(3r + -5) + -35 Reorder the terms: 9r + -2(2 + r) = 5(3r + -5) + -35 9r + (2 * -2 + r * -2) = 5(3r + -5) + -35 9r + (-4 + -2r) = 5(3r + -5) + -35 Reorder the terms: -4 + 9r + -2r = 5(3r + -5) + -35 Combine like terms: 9r + -2r = 7r -4 + 7r = 5(3r + -5) + -35 Reorder the terms: -4 + 7r = 5(-5 + 3r) + -35 -4 + 7r = (-5 * 5 + 3r * 5) + -35 -4 + 7r = (-25 + 15r) + -35 Reorder the terms: -4 + 7r = -25 + -35 + 15r Combine like terms: -25 + -35 = -60 -4 + 7r = -60 + 15r Solving -4 + 7r = -60 + 15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-15r' to each side of the equation. -4 + 7r + -15r = -60 + 15r + -15r Combine like terms: 7r + -15r = -8r -4 + -8r = -60 + 15r + -15r Combine like terms: 15r + -15r = 0 -4 + -8r = -60 + 0 -4 + -8r = -60 Add '4' to each side of the equation. -4 + 4 + -8r = -60 + 4 Combine like terms: -4 + 4 = 0 0 + -8r = -60 + 4 -8r = -60 + 4 Combine like terms: -60 + 4 = -56 -8r = -56 Divide each side by '-8'. r = 7 Simplifying r = 7
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