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Simplifying -7(r + -10) = -6(3r + -8) Reorder the terms: -7(-10 + r) = -6(3r + -8) (-10 * -7 + r * -7) = -6(3r + -8) (70 + -7r) = -6(3r + -8) Reorder the terms: 70 + -7r = -6(-8 + 3r) 70 + -7r = (-8 * -6 + 3r * -6) 70 + -7r = (48 + -18r) Solving 70 + -7r = 48 + -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. 70 + -7r + 18r = 48 + -18r + 18r Combine like terms: -7r + 18r = 11r 70 + 11r = 48 + -18r + 18r Combine like terms: -18r + 18r = 0 70 + 11r = 48 + 0 70 + 11r = 48 Add '-70' to each side of the equation. 70 + -70 + 11r = 48 + -70 Combine like terms: 70 + -70 = 0 0 + 11r = 48 + -70 11r = 48 + -70 Combine like terms: 48 + -70 = -22 11r = -22 Divide each side by '11'. r = -2 Simplifying r = -2
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