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Simplifying 8(r + 3) = -2r + -2(r + 6) Reorder the terms: 8(3 + r) = -2r + -2(r + 6) (3 * 8 + r * 8) = -2r + -2(r + 6) (24 + 8r) = -2r + -2(r + 6) Reorder the terms: 24 + 8r = -2r + -2(6 + r) 24 + 8r = -2r + (6 * -2 + r * -2) 24 + 8r = -2r + (-12 + -2r) Reorder the terms: 24 + 8r = -12 + -2r + -2r Combine like terms: -2r + -2r = -4r 24 + 8r = -12 + -4r Solving 24 + 8r = -12 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 24 + 8r + 4r = -12 + -4r + 4r Combine like terms: 8r + 4r = 12r 24 + 12r = -12 + -4r + 4r Combine like terms: -4r + 4r = 0 24 + 12r = -12 + 0 24 + 12r = -12 Add '-24' to each side of the equation. 24 + -24 + 12r = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 12r = -12 + -24 12r = -12 + -24 Combine like terms: -12 + -24 = -36 12r = -36 Divide each side by '12'. r = -3 Simplifying r = -3
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