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Simplifying 5(3r + -4) = 2(4r + -3) Reorder the terms: 5(-4 + 3r) = 2(4r + -3) (-4 * 5 + 3r * 5) = 2(4r + -3) (-20 + 15r) = 2(4r + -3) Reorder the terms: -20 + 15r = 2(-3 + 4r) -20 + 15r = (-3 * 2 + 4r * 2) -20 + 15r = (-6 + 8r) Solving -20 + 15r = -6 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -20 + 15r + -8r = -6 + 8r + -8r Combine like terms: 15r + -8r = 7r -20 + 7r = -6 + 8r + -8r Combine like terms: 8r + -8r = 0 -20 + 7r = -6 + 0 -20 + 7r = -6 Add '20' to each side of the equation. -20 + 20 + 7r = -6 + 20 Combine like terms: -20 + 20 = 0 0 + 7r = -6 + 20 7r = -6 + 20 Combine like terms: -6 + 20 = 14 7r = 14 Divide each side by '7'. r = 2 Simplifying r = 2
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