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Simplifying 3(r + -4) = 5r + 10 Reorder the terms: 3(-4 + r) = 5r + 10 (-4 * 3 + r * 3) = 5r + 10 (-12 + 3r) = 5r + 10 Reorder the terms: -12 + 3r = 10 + 5r Solving -12 + 3r = 10 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -12 + 3r + -5r = 10 + 5r + -5r Combine like terms: 3r + -5r = -2r -12 + -2r = 10 + 5r + -5r Combine like terms: 5r + -5r = 0 -12 + -2r = 10 + 0 -12 + -2r = 10 Add '12' to each side of the equation. -12 + 12 + -2r = 10 + 12 Combine like terms: -12 + 12 = 0 0 + -2r = 10 + 12 -2r = 10 + 12 Combine like terms: 10 + 12 = 22 -2r = 22 Divide each side by '-2'. r = -11 Simplifying r = -11
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