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Simplifying -76 = 3(1 + -4r) + -6(4r + 3) -76 = (1 * 3 + -4r * 3) + -6(4r + 3) -76 = (3 + -12r) + -6(4r + 3) Reorder the terms: -76 = 3 + -12r + -6(3 + 4r) -76 = 3 + -12r + (3 * -6 + 4r * -6) -76 = 3 + -12r + (-18 + -24r) Reorder the terms: -76 = 3 + -18 + -12r + -24r Combine like terms: 3 + -18 = -15 -76 = -15 + -12r + -24r Combine like terms: -12r + -24r = -36r -76 = -15 + -36r Solving -76 = -15 + -36r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '36r' to each side of the equation. -76 + 36r = -15 + -36r + 36r Combine like terms: -36r + 36r = 0 -76 + 36r = -15 + 0 -76 + 36r = -15 Add '76' to each side of the equation. -76 + 76 + 36r = -15 + 76 Combine like terms: -76 + 76 = 0 0 + 36r = -15 + 76 36r = -15 + 76 Combine like terms: -15 + 76 = 61 36r = 61 Divide each side by '36'. r = 1.694444444 Simplifying r = 1.694444444
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