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Simplifying 2[5 + -2(3 + -1r)] = 6 + -5(3r + 9) 2[5 + (3 * -2 + -1r * -2)] = 6 + -5(3r + 9) 2[5 + (-6 + 2r)] = 6 + -5(3r + 9) Combine like terms: 5 + -6 = -1 2[-1 + 2r] = 6 + -5(3r + 9) [-1 * 2 + 2r * 2] = 6 + -5(3r + 9) [-2 + 4r] = 6 + -5(3r + 9) Reorder the terms: -2 + 4r = 6 + -5(9 + 3r) -2 + 4r = 6 + (9 * -5 + 3r * -5) -2 + 4r = 6 + (-45 + -15r) Combine like terms: 6 + -45 = -39 -2 + 4r = -39 + -15r Solving -2 + 4r = -39 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -2 + 4r + 15r = -39 + -15r + 15r Combine like terms: 4r + 15r = 19r -2 + 19r = -39 + -15r + 15r Combine like terms: -15r + 15r = 0 -2 + 19r = -39 + 0 -2 + 19r = -39 Add '2' to each side of the equation. -2 + 2 + 19r = -39 + 2 Combine like terms: -2 + 2 = 0 0 + 19r = -39 + 2 19r = -39 + 2 Combine like terms: -39 + 2 = -37 19r = -37 Divide each side by '19'. r = -1.947368421 Simplifying r = -1.947368421
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