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Simplifying 6(r + -9) + 5 = 7(r + 2) + -27 Reorder the terms: 6(-9 + r) + 5 = 7(r + 2) + -27 (-9 * 6 + r * 6) + 5 = 7(r + 2) + -27 (-54 + 6r) + 5 = 7(r + 2) + -27 Reorder the terms: -54 + 5 + 6r = 7(r + 2) + -27 Combine like terms: -54 + 5 = -49 -49 + 6r = 7(r + 2) + -27 Reorder the terms: -49 + 6r = 7(2 + r) + -27 -49 + 6r = (2 * 7 + r * 7) + -27 -49 + 6r = (14 + 7r) + -27 Reorder the terms: -49 + 6r = 14 + -27 + 7r Combine like terms: 14 + -27 = -13 -49 + 6r = -13 + 7r Solving -49 + 6r = -13 + 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. -49 + 6r + -7r = -13 + 7r + -7r Combine like terms: 6r + -7r = -1r -49 + -1r = -13 + 7r + -7r Combine like terms: 7r + -7r = 0 -49 + -1r = -13 + 0 -49 + -1r = -13 Add '49' to each side of the equation. -49 + 49 + -1r = -13 + 49 Combine like terms: -49 + 49 = 0 0 + -1r = -13 + 49 -1r = -13 + 49 Combine like terms: -13 + 49 = 36 -1r = 36 Divide each side by '-1'. r = -36 Simplifying r = -36
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