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Simplifying 9r + -4(r + 2) = 5(2r + -4) + -18 Reorder the terms: 9r + -4(2 + r) = 5(2r + -4) + -18 9r + (2 * -4 + r * -4) = 5(2r + -4) + -18 9r + (-8 + -4r) = 5(2r + -4) + -18 Reorder the terms: -8 + 9r + -4r = 5(2r + -4) + -18 Combine like terms: 9r + -4r = 5r -8 + 5r = 5(2r + -4) + -18 Reorder the terms: -8 + 5r = 5(-4 + 2r) + -18 -8 + 5r = (-4 * 5 + 2r * 5) + -18 -8 + 5r = (-20 + 10r) + -18 Reorder the terms: -8 + 5r = -20 + -18 + 10r Combine like terms: -20 + -18 = -38 -8 + 5r = -38 + 10r Solving -8 + 5r = -38 + 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. -8 + 5r + -10r = -38 + 10r + -10r Combine like terms: 5r + -10r = -5r -8 + -5r = -38 + 10r + -10r Combine like terms: 10r + -10r = 0 -8 + -5r = -38 + 0 -8 + -5r = -38 Add '8' to each side of the equation. -8 + 8 + -5r = -38 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = -38 + 8 -5r = -38 + 8 Combine like terms: -38 + 8 = -30 -5r = -30 Divide each side by '-5'. r = 6 Simplifying r = 6
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