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Simplifying 5(3r + -6) = 4(2r + 7) Reorder the terms: 5(-6 + 3r) = 4(2r + 7) (-6 * 5 + 3r * 5) = 4(2r + 7) (-30 + 15r) = 4(2r + 7) Reorder the terms: -30 + 15r = 4(7 + 2r) -30 + 15r = (7 * 4 + 2r * 4) -30 + 15r = (28 + 8r) Solving -30 + 15r = 28 + 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. -30 + 15r + -8r = 28 + 8r + -8r Combine like terms: 15r + -8r = 7r -30 + 7r = 28 + 8r + -8r Combine like terms: 8r + -8r = 0 -30 + 7r = 28 + 0 -30 + 7r = 28 Add '30' to each side of the equation. -30 + 30 + 7r = 28 + 30 Combine like terms: -30 + 30 = 0 0 + 7r = 28 + 30 7r = 28 + 30 Combine like terms: 28 + 30 = 58 7r = 58 Divide each side by '7'. r = 8.285714286 Simplifying r = 8.285714286
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