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Simplifying 7(-1 + r) + 8r = 4r + 26 (-1 * 7 + r * 7) + 8r = 4r + 26 (-7 + 7r) + 8r = 4r + 26 Combine like terms: 7r + 8r = 15r -7 + 15r = 4r + 26 Reorder the terms: -7 + 15r = 26 + 4r Solving -7 + 15r = 26 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -7 + 15r + -4r = 26 + 4r + -4r Combine like terms: 15r + -4r = 11r -7 + 11r = 26 + 4r + -4r Combine like terms: 4r + -4r = 0 -7 + 11r = 26 + 0 -7 + 11r = 26 Add '7' to each side of the equation. -7 + 7 + 11r = 26 + 7 Combine like terms: -7 + 7 = 0 0 + 11r = 26 + 7 11r = 26 + 7 Combine like terms: 26 + 7 = 33 11r = 33 Divide each side by '11'. r = 3 Simplifying r = 3
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