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