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Simplifying 8(8r + -6) = 13 + 3r Reorder the terms: 8(-6 + 8r) = 13 + 3r (-6 * 8 + 8r * 8) = 13 + 3r (-48 + 64r) = 13 + 3r Solving -48 + 64r = 13 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -48 + 64r + -3r = 13 + 3r + -3r Combine like terms: 64r + -3r = 61r -48 + 61r = 13 + 3r + -3r Combine like terms: 3r + -3r = 0 -48 + 61r = 13 + 0 -48 + 61r = 13 Add '48' to each side of the equation. -48 + 48 + 61r = 13 + 48 Combine like terms: -48 + 48 = 0 0 + 61r = 13 + 48 61r = 13 + 48 Combine like terms: 13 + 48 = 61 61r = 61 Divide each side by '61'. r = 1 Simplifying r = 1
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