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Simplifying 4(3r + -2) = 3(r + 7) Reorder the terms: 4(-2 + 3r) = 3(r + 7) (-2 * 4 + 3r * 4) = 3(r + 7) (-8 + 12r) = 3(r + 7) Reorder the terms: -8 + 12r = 3(7 + r) -8 + 12r = (7 * 3 + r * 3) -8 + 12r = (21 + 3r) Solving -8 + 12r = 21 + 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. -8 + 12r + -3r = 21 + 3r + -3r Combine like terms: 12r + -3r = 9r -8 + 9r = 21 + 3r + -3r Combine like terms: 3r + -3r = 0 -8 + 9r = 21 + 0 -8 + 9r = 21 Add '8' to each side of the equation. -8 + 8 + 9r = 21 + 8 Combine like terms: -8 + 8 = 0 0 + 9r = 21 + 8 9r = 21 + 8 Combine like terms: 21 + 8 = 29 9r = 29 Divide each side by '9'. r = 3.222222222 Simplifying r = 3.222222222
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