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Simplifying 6(4r + 5) = -3(6r + 14) Reorder the terms: 6(5 + 4r) = -3(6r + 14) (5 * 6 + 4r * 6) = -3(6r + 14) (30 + 24r) = -3(6r + 14) Reorder the terms: 30 + 24r = -3(14 + 6r) 30 + 24r = (14 * -3 + 6r * -3) 30 + 24r = (-42 + -18r) Solving 30 + 24r = -42 + -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. 30 + 24r + 18r = -42 + -18r + 18r Combine like terms: 24r + 18r = 42r 30 + 42r = -42 + -18r + 18r Combine like terms: -18r + 18r = 0 30 + 42r = -42 + 0 30 + 42r = -42 Add '-30' to each side of the equation. 30 + -30 + 42r = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 42r = -42 + -30 42r = -42 + -30 Combine like terms: -42 + -30 = -72 42r = -72 Divide each side by '42'. r = -1.714285714 Simplifying r = -1.714285714
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