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Simplifying -13 + 2r = 5(-2 + 7r) + -3 -13 + 2r = (-2 * 5 + 7r * 5) + -3 -13 + 2r = (-10 + 35r) + -3 Reorder the terms: -13 + 2r = -10 + -3 + 35r Combine like terms: -10 + -3 = -13 -13 + 2r = -13 + 35r Add '13' to each side of the equation. -13 + 13 + 2r = -13 + 13 + 35r Combine like terms: -13 + 13 = 0 0 + 2r = -13 + 13 + 35r 2r = -13 + 13 + 35r Combine like terms: -13 + 13 = 0 2r = 0 + 35r 2r = 35r Solving 2r = 35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35r' to each side of the equation. 2r + -35r = 35r + -35r Combine like terms: 2r + -35r = -33r -33r = 35r + -35r Combine like terms: 35r + -35r = 0 -33r = 0 Divide each side by '-33'. r = 0 Simplifying r = 0
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