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Simplifying 8(3r + -1) = 8r + 40 Reorder the terms: 8(-1 + 3r) = 8r + 40 (-1 * 8 + 3r * 8) = 8r + 40 (-8 + 24r) = 8r + 40 Reorder the terms: -8 + 24r = 40 + 8r Solving -8 + 24r = 40 + 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. -8 + 24r + -8r = 40 + 8r + -8r Combine like terms: 24r + -8r = 16r -8 + 16r = 40 + 8r + -8r Combine like terms: 8r + -8r = 0 -8 + 16r = 40 + 0 -8 + 16r = 40 Add '8' to each side of the equation. -8 + 8 + 16r = 40 + 8 Combine like terms: -8 + 8 = 0 0 + 16r = 40 + 8 16r = 40 + 8 Combine like terms: 40 + 8 = 48 16r = 48 Divide each side by '16'. r = 3 Simplifying r = 3
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