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Simplifying 16 + -7r = -6(7 + 6r) 16 + -7r = (7 * -6 + 6r * -6) 16 + -7r = (-42 + -36r) Solving 16 + -7r = -42 + -36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36r' to each side of the equation. 16 + -7r + 36r = -42 + -36r + 36r Combine like terms: -7r + 36r = 29r 16 + 29r = -42 + -36r + 36r Combine like terms: -36r + 36r = 0 16 + 29r = -42 + 0 16 + 29r = -42 Add '-16' to each side of the equation. 16 + -16 + 29r = -42 + -16 Combine like terms: 16 + -16 = 0 0 + 29r = -42 + -16 29r = -42 + -16 Combine like terms: -42 + -16 = -58 29r = -58 Divide each side by '29'. r = -2 Simplifying r = -2
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