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Simplifying 6r + 10 = -7(r + 6) Reorder the terms: 10 + 6r = -7(r + 6) Reorder the terms: 10 + 6r = -7(6 + r) 10 + 6r = (6 * -7 + r * -7) 10 + 6r = (-42 + -7r) Solving 10 + 6r = -42 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 10 + 6r + 7r = -42 + -7r + 7r Combine like terms: 6r + 7r = 13r 10 + 13r = -42 + -7r + 7r Combine like terms: -7r + 7r = 0 10 + 13r = -42 + 0 10 + 13r = -42 Add '-10' to each side of the equation. 10 + -10 + 13r = -42 + -10 Combine like terms: 10 + -10 = 0 0 + 13r = -42 + -10 13r = -42 + -10 Combine like terms: -42 + -10 = -52 13r = -52 Divide each side by '13'. r = -4 Simplifying r = -4
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