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Simplifying -35 = 6(-8 + 2r) + -1(5 + 3r) -35 = (-8 * 6 + 2r * 6) + -1(5 + 3r) -35 = (-48 + 12r) + -1(5 + 3r) -35 = -48 + 12r + (5 * -1 + 3r * -1) -35 = -48 + 12r + (-5 + -3r) Reorder the terms: -35 = -48 + -5 + 12r + -3r Combine like terms: -48 + -5 = -53 -35 = -53 + 12r + -3r Combine like terms: 12r + -3r = 9r -35 = -53 + 9r Solving -35 = -53 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. -35 + -9r = -53 + 9r + -9r Combine like terms: 9r + -9r = 0 -35 + -9r = -53 + 0 -35 + -9r = -53 Add '35' to each side of the equation. -35 + 35 + -9r = -53 + 35 Combine like terms: -35 + 35 = 0 0 + -9r = -53 + 35 -9r = -53 + 35 Combine like terms: -53 + 35 = -18 -9r = -18 Divide each side by '-9'. r = 2 Simplifying r = 2
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