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Simplifying 5(2r + -3) = -3(1 + -3r) Reorder the terms: 5(-3 + 2r) = -3(1 + -3r) (-3 * 5 + 2r * 5) = -3(1 + -3r) (-15 + 10r) = -3(1 + -3r) -15 + 10r = (1 * -3 + -3r * -3) -15 + 10r = (-3 + 9r) Solving -15 + 10r = -3 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -15 + 10r + -9r = -3 + 9r + -9r Combine like terms: 10r + -9r = 1r -15 + 1r = -3 + 9r + -9r Combine like terms: 9r + -9r = 0 -15 + 1r = -3 + 0 -15 + 1r = -3 Add '15' to each side of the equation. -15 + 15 + 1r = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 1r = -3 + 15 1r = -3 + 15 Combine like terms: -3 + 15 = 12 1r = 12 Divide each side by '1'. r = 12 Simplifying r = 12
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