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Simplifying -40 = 2(3 + 6r) + -2(-1r + -5) -40 = (3 * 2 + 6r * 2) + -2(-1r + -5) -40 = (6 + 12r) + -2(-1r + -5) Reorder the terms: -40 = 6 + 12r + -2(-5 + -1r) -40 = 6 + 12r + (-5 * -2 + -1r * -2) -40 = 6 + 12r + (10 + 2r) Reorder the terms: -40 = 6 + 10 + 12r + 2r Combine like terms: 6 + 10 = 16 -40 = 16 + 12r + 2r Combine like terms: 12r + 2r = 14r -40 = 16 + 14r Solving -40 = 16 + 14r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-14r' to each side of the equation. -40 + -14r = 16 + 14r + -14r Combine like terms: 14r + -14r = 0 -40 + -14r = 16 + 0 -40 + -14r = 16 Add '40' to each side of the equation. -40 + 40 + -14r = 16 + 40 Combine like terms: -40 + 40 = 0 0 + -14r = 16 + 40 -14r = 16 + 40 Combine like terms: 16 + 40 = 56 -14r = 56 Divide each side by '-14'. r = -4 Simplifying r = -4
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