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Simplifying 5(1 + -3r) = -4(6r + 1) (1 * 5 + -3r * 5) = -4(6r + 1) (5 + -15r) = -4(6r + 1) Reorder the terms: 5 + -15r = -4(1 + 6r) 5 + -15r = (1 * -4 + 6r * -4) 5 + -15r = (-4 + -24r) Solving 5 + -15r = -4 + -24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24r' to each side of the equation. 5 + -15r + 24r = -4 + -24r + 24r Combine like terms: -15r + 24r = 9r 5 + 9r = -4 + -24r + 24r Combine like terms: -24r + 24r = 0 5 + 9r = -4 + 0 5 + 9r = -4 Add '-5' to each side of the equation. 5 + -5 + 9r = -4 + -5 Combine like terms: 5 + -5 = 0 0 + 9r = -4 + -5 9r = -4 + -5 Combine like terms: -4 + -5 = -9 9r = -9 Divide each side by '9'. r = -1 Simplifying r = -1
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