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Simplifying 4(3r + -4) = 3(r + 9) + 2 Reorder the terms: 4(-4 + 3r) = 3(r + 9) + 2 (-4 * 4 + 3r * 4) = 3(r + 9) + 2 (-16 + 12r) = 3(r + 9) + 2 Reorder the terms: -16 + 12r = 3(9 + r) + 2 -16 + 12r = (9 * 3 + r * 3) + 2 -16 + 12r = (27 + 3r) + 2 Reorder the terms: -16 + 12r = 27 + 2 + 3r Combine like terms: 27 + 2 = 29 -16 + 12r = 29 + 3r Solving -16 + 12r = 29 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -16 + 12r + -3r = 29 + 3r + -3r Combine like terms: 12r + -3r = 9r -16 + 9r = 29 + 3r + -3r Combine like terms: 3r + -3r = 0 -16 + 9r = 29 + 0 -16 + 9r = 29 Add '16' to each side of the equation. -16 + 16 + 9r = 29 + 16 Combine like terms: -16 + 16 = 0 0 + 9r = 29 + 16 9r = 29 + 16 Combine like terms: 29 + 16 = 45 9r = 45 Divide each side by '9'. r = 5 Simplifying r = 5
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