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Simplifying 5(2r + 8) = 6(2r + -1) Reorder the terms: 5(8 + 2r) = 6(2r + -1) (8 * 5 + 2r * 5) = 6(2r + -1) (40 + 10r) = 6(2r + -1) Reorder the terms: 40 + 10r = 6(-1 + 2r) 40 + 10r = (-1 * 6 + 2r * 6) 40 + 10r = (-6 + 12r) Solving 40 + 10r = -6 + 12r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12r' to each side of the equation. 40 + 10r + -12r = -6 + 12r + -12r Combine like terms: 10r + -12r = -2r 40 + -2r = -6 + 12r + -12r Combine like terms: 12r + -12r = 0 40 + -2r = -6 + 0 40 + -2r = -6 Add '-40' to each side of the equation. 40 + -40 + -2r = -6 + -40 Combine like terms: 40 + -40 = 0 0 + -2r = -6 + -40 -2r = -6 + -40 Combine like terms: -6 + -40 = -46 -2r = -46 Divide each side by '-2'. r = 23 Simplifying r = 23
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