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Simplifying 4(3r + -2) = (r + 7) Reorder the terms: 4(-2 + 3r) = (r + 7) (-2 * 4 + 3r * 4) = (r + 7) (-8 + 12r) = (r + 7) Reorder the terms: -8 + 12r = (7 + r) Remove parenthesis around (7 + r) -8 + 12r = 7 + r Solving -8 + 12r = 7 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -8 + 12r + -1r = 7 + r + -1r Combine like terms: 12r + -1r = 11r -8 + 11r = 7 + r + -1r Combine like terms: r + -1r = 0 -8 + 11r = 7 + 0 -8 + 11r = 7 Add '8' to each side of the equation. -8 + 8 + 11r = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 11r = 7 + 8 11r = 7 + 8 Combine like terms: 7 + 8 = 15 11r = 15 Divide each side by '11'. r = 1.363636364 Simplifying r = 1.363636364
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