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Simplifying -68 = -4(5r + 7) + 4(1 + -6r) Reorder the terms: -68 = -4(7 + 5r) + 4(1 + -6r) -68 = (7 * -4 + 5r * -4) + 4(1 + -6r) -68 = (-28 + -20r) + 4(1 + -6r) -68 = -28 + -20r + (1 * 4 + -6r * 4) -68 = -28 + -20r + (4 + -24r) Reorder the terms: -68 = -28 + 4 + -20r + -24r Combine like terms: -28 + 4 = -24 -68 = -24 + -20r + -24r Combine like terms: -20r + -24r = -44r -68 = -24 + -44r Solving -68 = -24 + -44r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '44r' to each side of the equation. -68 + 44r = -24 + -44r + 44r Combine like terms: -44r + 44r = 0 -68 + 44r = -24 + 0 -68 + 44r = -24 Add '68' to each side of the equation. -68 + 68 + 44r = -24 + 68 Combine like terms: -68 + 68 = 0 0 + 44r = -24 + 68 44r = -24 + 68 Combine like terms: -24 + 68 = 44 44r = 44 Divide each side by '44'. r = 1 Simplifying r = 1
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