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Simplifying 5r + 1 = 2(r + -4) + -6 Reorder the terms: 1 + 5r = 2(r + -4) + -6 Reorder the terms: 1 + 5r = 2(-4 + r) + -6 1 + 5r = (-4 * 2 + r * 2) + -6 1 + 5r = (-8 + 2r) + -6 Reorder the terms: 1 + 5r = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 1 + 5r = -14 + 2r Solving 1 + 5r = -14 + 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. 1 + 5r + -2r = -14 + 2r + -2r Combine like terms: 5r + -2r = 3r 1 + 3r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 3r = -14 + 0 1 + 3r = -14 Add '-1' to each side of the equation. 1 + -1 + 3r = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 3r = -14 + -1 3r = -14 + -1 Combine like terms: -14 + -1 = -15 3r = -15 Divide each side by '3'. r = -5 Simplifying r = -5
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