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Simplifying 3[2 + -1(5 + -2r)] = 5r + -30 3[2 + (5 * -1 + -2r * -1)] = 5r + -30 3[2 + (-5 + 2r)] = 5r + -30 Combine like terms: 2 + -5 = -3 3[-3 + 2r] = 5r + -30 [-3 * 3 + 2r * 3] = 5r + -30 [-9 + 6r] = 5r + -30 Reorder the terms: -9 + 6r = -30 + 5r Solving -9 + 6r = -30 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -9 + 6r + -5r = -30 + 5r + -5r Combine like terms: 6r + -5r = 1r -9 + 1r = -30 + 5r + -5r Combine like terms: 5r + -5r = 0 -9 + 1r = -30 + 0 -9 + 1r = -30 Add '9' to each side of the equation. -9 + 9 + 1r = -30 + 9 Combine like terms: -9 + 9 = 0 0 + 1r = -30 + 9 1r = -30 + 9 Combine like terms: -30 + 9 = -21 1r = -21 Divide each side by '1'. r = -21 Simplifying r = -21
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