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Simplifying 3r + -8 = 2(r + -1(-4)) + 4 Reorder the terms: -8 + 3r = 2(r + -1(-4)) + 4 Multiply -1 * -4 -8 + 3r = 2(r + 4) + 4 Reorder the terms: -8 + 3r = 2(4 + r) + 4 -8 + 3r = (4 * 2 + r * 2) + 4 -8 + 3r = (8 + 2r) + 4 Reorder the terms: -8 + 3r = 8 + 4 + 2r Combine like terms: 8 + 4 = 12 -8 + 3r = 12 + 2r Solving -8 + 3r = 12 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -8 + 3r + -2r = 12 + 2r + -2r Combine like terms: 3r + -2r = 1r -8 + 1r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -8 + 1r = 12 + 0 -8 + 1r = 12 Add '8' to each side of the equation. -8 + 8 + 1r = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 1r = 12 + 8 1r = 12 + 8 Combine like terms: 12 + 8 = 20 1r = 20 Divide each side by '1'. r = 20 Simplifying r = 20
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