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Simplifying -12(1 + 6r) + 10(8r + 4) = -3r + 7r (1 * -12 + 6r * -12) + 10(8r + 4) = -3r + 7r (-12 + -72r) + 10(8r + 4) = -3r + 7r Reorder the terms: -12 + -72r + 10(4 + 8r) = -3r + 7r -12 + -72r + (4 * 10 + 8r * 10) = -3r + 7r -12 + -72r + (40 + 80r) = -3r + 7r Reorder the terms: -12 + 40 + -72r + 80r = -3r + 7r Combine like terms: -12 + 40 = 28 28 + -72r + 80r = -3r + 7r Combine like terms: -72r + 80r = 8r 28 + 8r = -3r + 7r Combine like terms: -3r + 7r = 4r 28 + 8r = 4r Solving 28 + 8r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 28 + 8r + -4r = 4r + -4r Combine like terms: 8r + -4r = 4r 28 + 4r = 4r + -4r Combine like terms: 4r + -4r = 0 28 + 4r = 0 Add '-28' to each side of the equation. 28 + -28 + 4r = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 4r = 0 + -28 4r = 0 + -28 Combine like terms: 0 + -28 = -28 4r = -28 Divide each side by '4'. r = -7 Simplifying r = -7
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