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Simplifying -7r + 10 = -1 + -4(-6r + 5) Reorder the terms: 10 + -7r = -1 + -4(-6r + 5) Reorder the terms: 10 + -7r = -1 + -4(5 + -6r) 10 + -7r = -1 + (5 * -4 + -6r * -4) 10 + -7r = -1 + (-20 + 24r) Combine like terms: -1 + -20 = -21 10 + -7r = -21 + 24r Solving 10 + -7r = -21 + 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. 10 + -7r + -24r = -21 + 24r + -24r Combine like terms: -7r + -24r = -31r 10 + -31r = -21 + 24r + -24r Combine like terms: 24r + -24r = 0 10 + -31r = -21 + 0 10 + -31r = -21 Add '-10' to each side of the equation. 10 + -10 + -31r = -21 + -10 Combine like terms: 10 + -10 = 0 0 + -31r = -21 + -10 -31r = -21 + -10 Combine like terms: -21 + -10 = -31 -31r = -31 Divide each side by '-31'. r = 1 Simplifying r = 1
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