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Simplifying r + -13 = 7(4 + -6r) + 2r Reorder the terms: -13 + r = 7(4 + -6r) + 2r -13 + r = (4 * 7 + -6r * 7) + 2r -13 + r = (28 + -42r) + 2r Combine like terms: -42r + 2r = -40r -13 + r = 28 + -40r Solving -13 + r = 28 + -40r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40r' to each side of the equation. -13 + r + 40r = 28 + -40r + 40r Combine like terms: r + 40r = 41r -13 + 41r = 28 + -40r + 40r Combine like terms: -40r + 40r = 0 -13 + 41r = 28 + 0 -13 + 41r = 28 Add '13' to each side of the equation. -13 + 13 + 41r = 28 + 13 Combine like terms: -13 + 13 = 0 0 + 41r = 28 + 13 41r = 28 + 13 Combine like terms: 28 + 13 = 41 41r = 41 Divide each side by '41'. r = 1 Simplifying r = 1
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