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Simplifying 4r = 2(r + -4) + -3(2r + 3) Reorder the terms: 4r = 2(-4 + r) + -3(2r + 3) 4r = (-4 * 2 + r * 2) + -3(2r + 3) 4r = (-8 + 2r) + -3(2r + 3) Reorder the terms: 4r = -8 + 2r + -3(3 + 2r) 4r = -8 + 2r + (3 * -3 + 2r * -3) 4r = -8 + 2r + (-9 + -6r) Reorder the terms: 4r = -8 + -9 + 2r + -6r Combine like terms: -8 + -9 = -17 4r = -17 + 2r + -6r Combine like terms: 2r + -6r = -4r 4r = -17 + -4r Solving 4r = -17 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 4r + 4r = -17 + -4r + 4r Combine like terms: 4r + 4r = 8r 8r = -17 + -4r + 4r Combine like terms: -4r + 4r = 0 8r = -17 + 0 8r = -17 Divide each side by '8'. r = -2.125 Simplifying r = -2.125
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