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Simplifying -5(3 + -5r) + 1 = 40 + -2r (3 * -5 + -5r * -5) + 1 = 40 + -2r (-15 + 25r) + 1 = 40 + -2r Reorder the terms: -15 + 1 + 25r = 40 + -2r Combine like terms: -15 + 1 = -14 -14 + 25r = 40 + -2r Solving -14 + 25r = 40 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -14 + 25r + 2r = 40 + -2r + 2r Combine like terms: 25r + 2r = 27r -14 + 27r = 40 + -2r + 2r Combine like terms: -2r + 2r = 0 -14 + 27r = 40 + 0 -14 + 27r = 40 Add '14' to each side of the equation. -14 + 14 + 27r = 40 + 14 Combine like terms: -14 + 14 = 0 0 + 27r = 40 + 14 27r = 40 + 14 Combine like terms: 40 + 14 = 54 27r = 54 Divide each side by '27'. r = 2 Simplifying r = 2
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