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Simplifying 6(4r + 8) = -3(2r + -2) Reorder the terms: 6(8 + 4r) = -3(2r + -2) (8 * 6 + 4r * 6) = -3(2r + -2) (48 + 24r) = -3(2r + -2) Reorder the terms: 48 + 24r = -3(-2 + 2r) 48 + 24r = (-2 * -3 + 2r * -3) 48 + 24r = (6 + -6r) Solving 48 + 24r = 6 + -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. 48 + 24r + 6r = 6 + -6r + 6r Combine like terms: 24r + 6r = 30r 48 + 30r = 6 + -6r + 6r Combine like terms: -6r + 6r = 0 48 + 30r = 6 + 0 48 + 30r = 6 Add '-48' to each side of the equation. 48 + -48 + 30r = 6 + -48 Combine like terms: 48 + -48 = 0 0 + 30r = 6 + -48 30r = 6 + -48 Combine like terms: 6 + -48 = -42 30r = -42 Divide each side by '30'. r = -1.4 Simplifying r = -1.4
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