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Simplifying 4(1 + 7r) = 8 + -6(8 + -1r) (1 * 4 + 7r * 4) = 8 + -6(8 + -1r) (4 + 28r) = 8 + -6(8 + -1r) 4 + 28r = 8 + (8 * -6 + -1r * -6) 4 + 28r = 8 + (-48 + 6r) Combine like terms: 8 + -48 = -40 4 + 28r = -40 + 6r Solving 4 + 28r = -40 + 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. 4 + 28r + -6r = -40 + 6r + -6r Combine like terms: 28r + -6r = 22r 4 + 22r = -40 + 6r + -6r Combine like terms: 6r + -6r = 0 4 + 22r = -40 + 0 4 + 22r = -40 Add '-4' to each side of the equation. 4 + -4 + 22r = -40 + -4 Combine like terms: 4 + -4 = 0 0 + 22r = -40 + -4 22r = -40 + -4 Combine like terms: -40 + -4 = -44 22r = -44 Divide each side by '22'. r = -2 Simplifying r = -2
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