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Simplifying -8(r + 7) = -1(-5r + -4) + -3r Reorder the terms: -8(7 + r) = -1(-5r + -4) + -3r (7 * -8 + r * -8) = -1(-5r + -4) + -3r (-56 + -8r) = -1(-5r + -4) + -3r Reorder the terms: -56 + -8r = -1(-4 + -5r) + -3r -56 + -8r = (-4 * -1 + -5r * -1) + -3r -56 + -8r = (4 + 5r) + -3r Combine like terms: 5r + -3r = 2r -56 + -8r = 4 + 2r Solving -56 + -8r = 4 + 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. -56 + -8r + -2r = 4 + 2r + -2r Combine like terms: -8r + -2r = -10r -56 + -10r = 4 + 2r + -2r Combine like terms: 2r + -2r = 0 -56 + -10r = 4 + 0 -56 + -10r = 4 Add '56' to each side of the equation. -56 + 56 + -10r = 4 + 56 Combine like terms: -56 + 56 = 0 0 + -10r = 4 + 56 -10r = 4 + 56 Combine like terms: 4 + 56 = 60 -10r = 60 Divide each side by '-10'. r = -6 Simplifying r = -6
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