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Simplifying -30 = 5(8r + 8) + -6(3 + -2r) Reorder the terms: -30 = 5(8 + 8r) + -6(3 + -2r) -30 = (8 * 5 + 8r * 5) + -6(3 + -2r) -30 = (40 + 40r) + -6(3 + -2r) -30 = 40 + 40r + (3 * -6 + -2r * -6) -30 = 40 + 40r + (-18 + 12r) Reorder the terms: -30 = 40 + -18 + 40r + 12r Combine like terms: 40 + -18 = 22 -30 = 22 + 40r + 12r Combine like terms: 40r + 12r = 52r -30 = 22 + 52r Solving -30 = 22 + 52r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-52r' to each side of the equation. -30 + -52r = 22 + 52r + -52r Combine like terms: 52r + -52r = 0 -30 + -52r = 22 + 0 -30 + -52r = 22 Add '30' to each side of the equation. -30 + 30 + -52r = 22 + 30 Combine like terms: -30 + 30 = 0 0 + -52r = 22 + 30 -52r = 22 + 30 Combine like terms: 22 + 30 = 52 -52r = 52 Divide each side by '-52'. r = -1 Simplifying r = -1
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