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Simplifying 8 + 3r = 7(-6r + -6) + -5r Reorder the terms: 8 + 3r = 7(-6 + -6r) + -5r 8 + 3r = (-6 * 7 + -6r * 7) + -5r 8 + 3r = (-42 + -42r) + -5r Combine like terms: -42r + -5r = -47r 8 + 3r = -42 + -47r Solving 8 + 3r = -42 + -47r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '47r' to each side of the equation. 8 + 3r + 47r = -42 + -47r + 47r Combine like terms: 3r + 47r = 50r 8 + 50r = -42 + -47r + 47r Combine like terms: -47r + 47r = 0 8 + 50r = -42 + 0 8 + 50r = -42 Add '-8' to each side of the equation. 8 + -8 + 50r = -42 + -8 Combine like terms: 8 + -8 = 0 0 + 50r = -42 + -8 50r = -42 + -8 Combine like terms: -42 + -8 = -50 50r = -50 Divide each side by '50'. r = -1 Simplifying r = -1
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