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Simplifying 3(r + -3) + -1r = -4(2r + 5) + -8 Reorder the terms: 3(-3 + r) + -1r = -4(2r + 5) + -8 (-3 * 3 + r * 3) + -1r = -4(2r + 5) + -8 (-9 + 3r) + -1r = -4(2r + 5) + -8 Combine like terms: 3r + -1r = 2r -9 + 2r = -4(2r + 5) + -8 Reorder the terms: -9 + 2r = -4(5 + 2r) + -8 -9 + 2r = (5 * -4 + 2r * -4) + -8 -9 + 2r = (-20 + -8r) + -8 Reorder the terms: -9 + 2r = -20 + -8 + -8r Combine like terms: -20 + -8 = -28 -9 + 2r = -28 + -8r Solving -9 + 2r = -28 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -9 + 2r + 8r = -28 + -8r + 8r Combine like terms: 2r + 8r = 10r -9 + 10r = -28 + -8r + 8r Combine like terms: -8r + 8r = 0 -9 + 10r = -28 + 0 -9 + 10r = -28 Add '9' to each side of the equation. -9 + 9 + 10r = -28 + 9 Combine like terms: -9 + 9 = 0 0 + 10r = -28 + 9 10r = -28 + 9 Combine like terms: -28 + 9 = -19 10r = -19 Divide each side by '10'. r = -1.9 Simplifying r = -1.9
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