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Simplifying -1 + -7r = 8(-8r + 7) Reorder the terms: -1 + -7r = 8(7 + -8r) -1 + -7r = (7 * 8 + -8r * 8) -1 + -7r = (56 + -64r) Solving -1 + -7r = 56 + -64r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '64r' to each side of the equation. -1 + -7r + 64r = 56 + -64r + 64r Combine like terms: -7r + 64r = 57r -1 + 57r = 56 + -64r + 64r Combine like terms: -64r + 64r = 0 -1 + 57r = 56 + 0 -1 + 57r = 56 Add '1' to each side of the equation. -1 + 1 + 57r = 56 + 1 Combine like terms: -1 + 1 = 0 0 + 57r = 56 + 1 57r = 56 + 1 Combine like terms: 56 + 1 = 57 57r = 57 Divide each side by '57'. r = 1 Simplifying r = 1
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