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Simplifying 3r + 4(-4 + 2r) = 8 + -1r 3r + (-4 * 4 + 2r * 4) = 8 + -1r 3r + (-16 + 8r) = 8 + -1r Reorder the terms: -16 + 3r + 8r = 8 + -1r Combine like terms: 3r + 8r = 11r -16 + 11r = 8 + -1r Solving -16 + 11r = 8 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -16 + 11r + r = 8 + -1r + r Combine like terms: 11r + r = 12r -16 + 12r = 8 + -1r + r Combine like terms: -1r + r = 0 -16 + 12r = 8 + 0 -16 + 12r = 8 Add '16' to each side of the equation. -16 + 16 + 12r = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 12r = 8 + 16 12r = 8 + 16 Combine like terms: 8 + 16 = 24 12r = 24 Divide each side by '12'. r = 2 Simplifying r = 2
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