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Simplifying 58 = 4(7 + -7r) + 6(5 + -8r) 58 = (7 * 4 + -7r * 4) + 6(5 + -8r) 58 = (28 + -28r) + 6(5 + -8r) 58 = 28 + -28r + (5 * 6 + -8r * 6) 58 = 28 + -28r + (30 + -48r) Reorder the terms: 58 = 28 + 30 + -28r + -48r Combine like terms: 28 + 30 = 58 58 = 58 + -28r + -48r Combine like terms: -28r + -48r = -76r 58 = 58 + -76r Add '-58' to each side of the equation. 58 + -58 = 58 + -58 + -76r Combine like terms: 58 + -58 = 0 0 = 58 + -58 + -76r Combine like terms: 58 + -58 = 0 0 = 0 + -76r 0 = -76r Solving 0 = -76r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '76r' to each side of the equation. 0 + 76r = -76r + 76r Remove the zero: 76r = -76r + 76r Combine like terms: -76r + 76r = 0 76r = 0 Divide each side by '76'. r = 0 Simplifying r = 0
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