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Simplifying -7r = -7r + 8(-1r + 8) Reorder the terms: -7r = -7r + 8(8 + -1r) -7r = -7r + (8 * 8 + -1r * 8) -7r = -7r + (64 + -8r) Reorder the terms: -7r = 64 + -7r + -8r Combine like terms: -7r + -8r = -15r -7r = 64 + -15r Solving -7r = 64 + -15r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15r' to each side of the equation. -7r + 15r = 64 + -15r + 15r Combine like terms: -7r + 15r = 8r 8r = 64 + -15r + 15r Combine like terms: -15r + 15r = 0 8r = 64 + 0 8r = 64 Divide each side by '8'. r = 8 Simplifying r = 8
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