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Simplifying 7(8 + -1r) + 3(2 + 2r) = 9 (8 * 7 + -1r * 7) + 3(2 + 2r) = 9 (56 + -7r) + 3(2 + 2r) = 9 56 + -7r + (2 * 3 + 2r * 3) = 9 56 + -7r + (6 + 6r) = 9 Reorder the terms: 56 + 6 + -7r + 6r = 9 Combine like terms: 56 + 6 = 62 62 + -7r + 6r = 9 Combine like terms: -7r + 6r = -1r 62 + -1r = 9 Solving 62 + -1r = 9 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + -1r = 9 + -62 Combine like terms: 62 + -62 = 0 0 + -1r = 9 + -62 -1r = 9 + -62 Combine like terms: 9 + -62 = -53 -1r = -53 Divide each side by '-1'. r = 53 Simplifying r = 53
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