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Simplifying 4(r + -9) + 1 = 5(r + 3) + -27 Reorder the terms: 4(-9 + r) + 1 = 5(r + 3) + -27 (-9 * 4 + r * 4) + 1 = 5(r + 3) + -27 (-36 + 4r) + 1 = 5(r + 3) + -27 Reorder the terms: -36 + 1 + 4r = 5(r + 3) + -27 Combine like terms: -36 + 1 = -35 -35 + 4r = 5(r + 3) + -27 Reorder the terms: -35 + 4r = 5(3 + r) + -27 -35 + 4r = (3 * 5 + r * 5) + -27 -35 + 4r = (15 + 5r) + -27 Reorder the terms: -35 + 4r = 15 + -27 + 5r Combine like terms: 15 + -27 = -12 -35 + 4r = -12 + 5r Solving -35 + 4r = -12 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -35 + 4r + -5r = -12 + 5r + -5r Combine like terms: 4r + -5r = -1r -35 + -1r = -12 + 5r + -5r Combine like terms: 5r + -5r = 0 -35 + -1r = -12 + 0 -35 + -1r = -12 Add '35' to each side of the equation. -35 + 35 + -1r = -12 + 35 Combine like terms: -35 + 35 = 0 0 + -1r = -12 + 35 -1r = -12 + 35 Combine like terms: -12 + 35 = 23 -1r = 23 Divide each side by '-1'. r = -23 Simplifying r = -23
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