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Simplifying -1(12 + 2r) + -1(r + 8) = -7r + 3r (12 * -1 + 2r * -1) + -1(r + 8) = -7r + 3r (-12 + -2r) + -1(r + 8) = -7r + 3r Reorder the terms: -12 + -2r + -1(8 + r) = -7r + 3r -12 + -2r + (8 * -1 + r * -1) = -7r + 3r -12 + -2r + (-8 + -1r) = -7r + 3r Reorder the terms: -12 + -8 + -2r + -1r = -7r + 3r Combine like terms: -12 + -8 = -20 -20 + -2r + -1r = -7r + 3r Combine like terms: -2r + -1r = -3r -20 + -3r = -7r + 3r Combine like terms: -7r + 3r = -4r -20 + -3r = -4r Solving -20 + -3r = -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. -20 + -3r + 4r = -4r + 4r Combine like terms: -3r + 4r = 1r -20 + 1r = -4r + 4r Combine like terms: -4r + 4r = 0 -20 + 1r = 0 Add '20' to each side of the equation. -20 + 20 + 1r = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 1r = 0 + 20 1r = 0 + 20 Combine like terms: 0 + 20 = 20 1r = 20 Divide each side by '1'. r = 20 Simplifying r = 20
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