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Simplifying 6r + -5(-4r + -7) = -7 + -8(1 + 3r) Reorder the terms: 6r + -5(-7 + -4r) = -7 + -8(1 + 3r) 6r + (-7 * -5 + -4r * -5) = -7 + -8(1 + 3r) 6r + (35 + 20r) = -7 + -8(1 + 3r) Reorder the terms: 35 + 6r + 20r = -7 + -8(1 + 3r) Combine like terms: 6r + 20r = 26r 35 + 26r = -7 + -8(1 + 3r) 35 + 26r = -7 + (1 * -8 + 3r * -8) 35 + 26r = -7 + (-8 + -24r) Combine like terms: -7 + -8 = -15 35 + 26r = -15 + -24r Solving 35 + 26r = -15 + -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. 35 + 26r + 24r = -15 + -24r + 24r Combine like terms: 26r + 24r = 50r 35 + 50r = -15 + -24r + 24r Combine like terms: -24r + 24r = 0 35 + 50r = -15 + 0 35 + 50r = -15 Add '-35' to each side of the equation. 35 + -35 + 50r = -15 + -35 Combine like terms: 35 + -35 = 0 0 + 50r = -15 + -35 50r = -15 + -35 Combine like terms: -15 + -35 = -50 50r = -50 Divide each side by '50'. r = -1 Simplifying r = -1
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