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Simplifying 56 = -8(3r + -5) + 8(7 + 4r) Reorder the terms: 56 = -8(-5 + 3r) + 8(7 + 4r) 56 = (-5 * -8 + 3r * -8) + 8(7 + 4r) 56 = (40 + -24r) + 8(7 + 4r) 56 = 40 + -24r + (7 * 8 + 4r * 8) 56 = 40 + -24r + (56 + 32r) Reorder the terms: 56 = 40 + 56 + -24r + 32r Combine like terms: 40 + 56 = 96 56 = 96 + -24r + 32r Combine like terms: -24r + 32r = 8r 56 = 96 + 8r Solving 56 = 96 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 56 + -8r = 96 + 8r + -8r Combine like terms: 8r + -8r = 0 56 + -8r = 96 + 0 56 + -8r = 96 Add '-56' to each side of the equation. 56 + -56 + -8r = 96 + -56 Combine like terms: 56 + -56 = 0 0 + -8r = 96 + -56 -8r = 96 + -56 Combine like terms: 96 + -56 = 40 -8r = 40 Divide each side by '-8'. r = -5 Simplifying r = -5
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