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Simplifying 8(8r + -2) = 12(1 + 5r) Reorder the terms: 8(-2 + 8r) = 12(1 + 5r) (-2 * 8 + 8r * 8) = 12(1 + 5r) (-16 + 64r) = 12(1 + 5r) -16 + 64r = (1 * 12 + 5r * 12) -16 + 64r = (12 + 60r) Solving -16 + 64r = 12 + 60r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-60r' to each side of the equation. -16 + 64r + -60r = 12 + 60r + -60r Combine like terms: 64r + -60r = 4r -16 + 4r = 12 + 60r + -60r Combine like terms: 60r + -60r = 0 -16 + 4r = 12 + 0 -16 + 4r = 12 Add '16' to each side of the equation. -16 + 16 + 4r = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 4r = 12 + 16 4r = 12 + 16 Combine like terms: 12 + 16 = 28 4r = 28 Divide each side by '4'. r = 7 Simplifying r = 7
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