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Simplifying 8(r + -1) = -6(5 + -1r) Reorder the terms: 8(-1 + r) = -6(5 + -1r) (-1 * 8 + r * 8) = -6(5 + -1r) (-8 + 8r) = -6(5 + -1r) -8 + 8r = (5 * -6 + -1r * -6) -8 + 8r = (-30 + 6r) Solving -8 + 8r = -30 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -8 + 8r + -6r = -30 + 6r + -6r Combine like terms: 8r + -6r = 2r -8 + 2r = -30 + 6r + -6r Combine like terms: 6r + -6r = 0 -8 + 2r = -30 + 0 -8 + 2r = -30 Add '8' to each side of the equation. -8 + 8 + 2r = -30 + 8 Combine like terms: -8 + 8 = 0 0 + 2r = -30 + 8 2r = -30 + 8 Combine like terms: -30 + 8 = -22 2r = -22 Divide each side by '2'. r = -11 Simplifying r = -11
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