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Simplifying -8(3r + -6) = 6(-3r + 5) Reorder the terms: -8(-6 + 3r) = 6(-3r + 5) (-6 * -8 + 3r * -8) = 6(-3r + 5) (48 + -24r) = 6(-3r + 5) Reorder the terms: 48 + -24r = 6(5 + -3r) 48 + -24r = (5 * 6 + -3r * 6) 48 + -24r = (30 + -18r) Solving 48 + -24r = 30 + -18r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '18r' to each side of the equation. 48 + -24r + 18r = 30 + -18r + 18r Combine like terms: -24r + 18r = -6r 48 + -6r = 30 + -18r + 18r Combine like terms: -18r + 18r = 0 48 + -6r = 30 + 0 48 + -6r = 30 Add '-48' to each side of the equation. 48 + -48 + -6r = 30 + -48 Combine like terms: 48 + -48 = 0 0 + -6r = 30 + -48 -6r = 30 + -48 Combine like terms: 30 + -48 = -18 -6r = -18 Divide each side by '-6'. r = 3 Simplifying r = 3
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