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Simplifying 5(r + -6) + 3 = 6(r + 2) + -27 Reorder the terms: 5(-6 + r) + 3 = 6(r + 2) + -27 (-6 * 5 + r * 5) + 3 = 6(r + 2) + -27 (-30 + 5r) + 3 = 6(r + 2) + -27 Reorder the terms: -30 + 3 + 5r = 6(r + 2) + -27 Combine like terms: -30 + 3 = -27 -27 + 5r = 6(r + 2) + -27 Reorder the terms: -27 + 5r = 6(2 + r) + -27 -27 + 5r = (2 * 6 + r * 6) + -27 -27 + 5r = (12 + 6r) + -27 Reorder the terms: -27 + 5r = 12 + -27 + 6r Combine like terms: 12 + -27 = -15 -27 + 5r = -15 + 6r Solving -27 + 5r = -15 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -27 + 5r + -6r = -15 + 6r + -6r Combine like terms: 5r + -6r = -1r -27 + -1r = -15 + 6r + -6r Combine like terms: 6r + -6r = 0 -27 + -1r = -15 + 0 -27 + -1r = -15 Add '27' to each side of the equation. -27 + 27 + -1r = -15 + 27 Combine like terms: -27 + 27 = 0 0 + -1r = -15 + 27 -1r = -15 + 27 Combine like terms: -15 + 27 = 12 -1r = 12 Divide each side by '-1'. r = -12 Simplifying r = -12
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