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Simplifying -3(8 + -6r) = 8(2r + -2) (8 * -3 + -6r * -3) = 8(2r + -2) (-24 + 18r) = 8(2r + -2) Reorder the terms: -24 + 18r = 8(-2 + 2r) -24 + 18r = (-2 * 8 + 2r * 8) -24 + 18r = (-16 + 16r) Solving -24 + 18r = -16 + 16r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-16r' to each side of the equation. -24 + 18r + -16r = -16 + 16r + -16r Combine like terms: 18r + -16r = 2r -24 + 2r = -16 + 16r + -16r Combine like terms: 16r + -16r = 0 -24 + 2r = -16 + 0 -24 + 2r = -16 Add '24' to each side of the equation. -24 + 24 + 2r = -16 + 24 Combine like terms: -24 + 24 = 0 0 + 2r = -16 + 24 2r = -16 + 24 Combine like terms: -16 + 24 = 8 2r = 8 Divide each side by '2'. r = 4 Simplifying r = 4
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