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Simplifying 5(2r + 3) + -2(3r + 4) = 0 Reorder the terms: 5(3 + 2r) + -2(3r + 4) = 0 (3 * 5 + 2r * 5) + -2(3r + 4) = 0 (15 + 10r) + -2(3r + 4) = 0 Reorder the terms: 15 + 10r + -2(4 + 3r) = 0 15 + 10r + (4 * -2 + 3r * -2) = 0 15 + 10r + (-8 + -6r) = 0 Reorder the terms: 15 + -8 + 10r + -6r = 0 Combine like terms: 15 + -8 = 7 7 + 10r + -6r = 0 Combine like terms: 10r + -6r = 4r 7 + 4r = 0 Solving 7 + 4r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4r = 0 + -7 4r = 0 + -7 Combine like terms: 0 + -7 = -7 4r = -7 Divide each side by '4'. r = -1.75 Simplifying r = -1.75
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