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Simplifying -27 + -5r = -8(r + 6) Reorder the terms: -27 + -5r = -8(6 + r) -27 + -5r = (6 * -8 + r * -8) -27 + -5r = (-48 + -8r) Solving -27 + -5r = -48 + -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. -27 + -5r + 8r = -48 + -8r + 8r Combine like terms: -5r + 8r = 3r -27 + 3r = -48 + -8r + 8r Combine like terms: -8r + 8r = 0 -27 + 3r = -48 + 0 -27 + 3r = -48 Add '27' to each side of the equation. -27 + 27 + 3r = -48 + 27 Combine like terms: -27 + 27 = 0 0 + 3r = -48 + 27 3r = -48 + 27 Combine like terms: -48 + 27 = -21 3r = -21 Divide each side by '3'. r = -7 Simplifying r = -7
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