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Simplifying 3(4r + 5) + -2(3r + 4) = 7 Reorder the terms: 3(5 + 4r) + -2(3r + 4) = 7 (5 * 3 + 4r * 3) + -2(3r + 4) = 7 (15 + 12r) + -2(3r + 4) = 7 Reorder the terms: 15 + 12r + -2(4 + 3r) = 7 15 + 12r + (4 * -2 + 3r * -2) = 7 15 + 12r + (-8 + -6r) = 7 Reorder the terms: 15 + -8 + 12r + -6r = 7 Combine like terms: 15 + -8 = 7 7 + 12r + -6r = 7 Combine like terms: 12r + -6r = 6r 7 + 6r = 7 Add '-7' to each side of the equation. 7 + -7 + 6r = 7 + -7 Combine like terms: 7 + -7 = 0 0 + 6r = 7 + -7 6r = 7 + -7 Combine like terms: 7 + -7 = 0 6r = 0 Solving 6r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by '6'. r = 0 Simplifying r = 0
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