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Simplifying 4r + -7 + -9r = 5(1 + -2r) Reorder the terms: -7 + 4r + -9r = 5(1 + -2r) Combine like terms: 4r + -9r = -5r -7 + -5r = 5(1 + -2r) -7 + -5r = (1 * 5 + -2r * 5) -7 + -5r = (5 + -10r) Solving -7 + -5r = 5 + -10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '10r' to each side of the equation. -7 + -5r + 10r = 5 + -10r + 10r Combine like terms: -5r + 10r = 5r -7 + 5r = 5 + -10r + 10r Combine like terms: -10r + 10r = 0 -7 + 5r = 5 + 0 -7 + 5r = 5 Add '7' to each side of the equation. -7 + 7 + 5r = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 5r = 5 + 7 5r = 5 + 7 Combine like terms: 5 + 7 = 12 5r = 12 Divide each side by '5'. r = 2.4 Simplifying r = 2.4
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