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Simplifying -26 = -8(5r + 6) + -6(3r + 6) Reorder the terms: -26 = -8(6 + 5r) + -6(3r + 6) -26 = (6 * -8 + 5r * -8) + -6(3r + 6) -26 = (-48 + -40r) + -6(3r + 6) Reorder the terms: -26 = -48 + -40r + -6(6 + 3r) -26 = -48 + -40r + (6 * -6 + 3r * -6) -26 = -48 + -40r + (-36 + -18r) Reorder the terms: -26 = -48 + -36 + -40r + -18r Combine like terms: -48 + -36 = -84 -26 = -84 + -40r + -18r Combine like terms: -40r + -18r = -58r -26 = -84 + -58r Solving -26 = -84 + -58r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '58r' to each side of the equation. -26 + 58r = -84 + -58r + 58r Combine like terms: -58r + 58r = 0 -26 + 58r = -84 + 0 -26 + 58r = -84 Add '26' to each side of the equation. -26 + 26 + 58r = -84 + 26 Combine like terms: -26 + 26 = 0 0 + 58r = -84 + 26 58r = -84 + 26 Combine like terms: -84 + 26 = -58 58r = -58 Divide each side by '58'. r = -1 Simplifying r = -1
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