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Simplifying 9r + -2(r + 4) = 4(3r + -5) + -18 Reorder the terms: 9r + -2(4 + r) = 4(3r + -5) + -18 9r + (4 * -2 + r * -2) = 4(3r + -5) + -18 9r + (-8 + -2r) = 4(3r + -5) + -18 Reorder the terms: -8 + 9r + -2r = 4(3r + -5) + -18 Combine like terms: 9r + -2r = 7r -8 + 7r = 4(3r + -5) + -18 Reorder the terms: -8 + 7r = 4(-5 + 3r) + -18 -8 + 7r = (-5 * 4 + 3r * 4) + -18 -8 + 7r = (-20 + 12r) + -18 Reorder the terms: -8 + 7r = -20 + -18 + 12r Combine like terms: -20 + -18 = -38 -8 + 7r = -38 + 12r Solving -8 + 7r = -38 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. -8 + 7r + -12r = -38 + 12r + -12r Combine like terms: 7r + -12r = -5r -8 + -5r = -38 + 12r + -12r Combine like terms: 12r + -12r = 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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