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Simplifying 4(3r + -4) = 2(7r + 5) Reorder the terms: 4(-4 + 3r) = 2(7r + 5) (-4 * 4 + 3r * 4) = 2(7r + 5) (-16 + 12r) = 2(7r + 5) Reorder the terms: -16 + 12r = 2(5 + 7r) -16 + 12r = (5 * 2 + 7r * 2) -16 + 12r = (10 + 14r) Solving -16 + 12r = 10 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -16 + 12r + -14r = 10 + 14r + -14r Combine like terms: 12r + -14r = -2r -16 + -2r = 10 + 14r + -14r Combine like terms: 14r + -14r = 0 -16 + -2r = 10 + 0 -16 + -2r = 10 Add '16' to each side of the equation. -16 + 16 + -2r = 10 + 16 Combine like terms: -16 + 16 = 0 0 + -2r = 10 + 16 -2r = 10 + 16 Combine like terms: 10 + 16 = 26 -2r = 26 Divide each side by '-2'. r = -13 Simplifying r = -13
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