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Simplifying 5(r + -10) = 2(r + -4) + -6 Reorder the terms: 5(-10 + r) = 2(r + -4) + -6 (-10 * 5 + r * 5) = 2(r + -4) + -6 (-50 + 5r) = 2(r + -4) + -6 Reorder the terms: -50 + 5r = 2(-4 + r) + -6 -50 + 5r = (-4 * 2 + r * 2) + -6 -50 + 5r = (-8 + 2r) + -6 Reorder the terms: -50 + 5r = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 -50 + 5r = -14 + 2r Solving -50 + 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. -50 + 5r + -2r = -14 + 2r + -2r Combine like terms: 5r + -2r = 3r -50 + 3r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 -50 + 3r = -14 + 0 -50 + 3r = -14 Add '50' to each side of the equation. -50 + 50 + 3r = -14 + 50 Combine like terms: -50 + 50 = 0 0 + 3r = -14 + 50 3r = -14 + 50 Combine like terms: -14 + 50 = 36 3r = 36 Divide each side by '3'. r = 12 Simplifying r = 12
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