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Simplifying 30 = -7(5r + 6) Reorder the terms: 30 = -7(6 + 5r) 30 = (6 * -7 + 5r * -7) 30 = (-42 + -35r) Solving 30 = -42 + -35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35r' to each side of the equation. 30 + 35r = -42 + -35r + 35r Combine like terms: -35r + 35r = 0 30 + 35r = -42 + 0 30 + 35r = -42 Add '-30' to each side of the equation. 30 + -30 + 35r = -42 + -30 Combine like terms: 30 + -30 = 0 0 + 35r = -42 + -30 35r = -42 + -30 Combine like terms: -42 + -30 = -72 35r = -72 Divide each side by '35'. r = -2.057142857 Simplifying r = -2.057142857
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