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Simplifying -6r + 15 = 7 + 8(7r + 1) Reorder the terms: 15 + -6r = 7 + 8(7r + 1) Reorder the terms: 15 + -6r = 7 + 8(1 + 7r) 15 + -6r = 7 + (1 * 8 + 7r * 8) 15 + -6r = 7 + (8 + 56r) Combine like terms: 7 + 8 = 15 15 + -6r = 15 + 56r Add '-15' to each side of the equation. 15 + -15 + -6r = 15 + -15 + 56r Combine like terms: 15 + -15 = 0 0 + -6r = 15 + -15 + 56r -6r = 15 + -15 + 56r Combine like terms: 15 + -15 = 0 -6r = 0 + 56r -6r = 56r Solving -6r = 56r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-56r' to each side of the equation. -6r + -56r = 56r + -56r Combine like terms: -6r + -56r = -62r -62r = 56r + -56r Combine like terms: 56r + -56r = 0 -62r = 0 Divide each side by '-62'. r = 0 Simplifying r = 0
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