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Simplifying -1(-8r + -8) + 6r = 2(r + -8) Reorder the terms: -1(-8 + -8r) + 6r = 2(r + -8) (-8 * -1 + -8r * -1) + 6r = 2(r + -8) (8 + 8r) + 6r = 2(r + -8) Combine like terms: 8r + 6r = 14r 8 + 14r = 2(r + -8) Reorder the terms: 8 + 14r = 2(-8 + r) 8 + 14r = (-8 * 2 + r * 2) 8 + 14r = (-16 + 2r) Solving 8 + 14r = -16 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 8 + 14r + -2r = -16 + 2r + -2r Combine like terms: 14r + -2r = 12r 8 + 12r = -16 + 2r + -2r Combine like terms: 2r + -2r = 0 8 + 12r = -16 + 0 8 + 12r = -16 Add '-8' to each side of the equation. 8 + -8 + 12r = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 12r = -16 + -8 12r = -16 + -8 Combine like terms: -16 + -8 = -24 12r = -24 Divide each side by '12'. r = -2 Simplifying r = -2
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