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Simplifying 8(r + 6) = 2(r + 4) Reorder the terms: 8(6 + r) = 2(r + 4) (6 * 8 + r * 8) = 2(r + 4) (48 + 8r) = 2(r + 4) Reorder the terms: 48 + 8r = 2(4 + r) 48 + 8r = (4 * 2 + r * 2) 48 + 8r = (8 + 2r) Solving 48 + 8r = 8 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 48 + 8r + -2r = 8 + 2r + -2r Combine like terms: 8r + -2r = 6r 48 + 6r = 8 + 2r + -2r Combine like terms: 2r + -2r = 0 48 + 6r = 8 + 0 48 + 6r = 8 Add '-48' to each side of the equation. 48 + -48 + 6r = 8 + -48 Combine like terms: 48 + -48 = 0 0 + 6r = 8 + -48 6r = 8 + -48 Combine like terms: 8 + -48 = -40 6r = -40 Divide each side by '6'. r = -6.666666667 Simplifying r = -6.666666667
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