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Simplifying -8(-2r + 2) = 8(8 + 3r) Reorder the terms: -8(2 + -2r) = 8(8 + 3r) (2 * -8 + -2r * -8) = 8(8 + 3r) (-16 + 16r) = 8(8 + 3r) -16 + 16r = (8 * 8 + 3r * 8) -16 + 16r = (64 + 24r) Solving -16 + 16r = 64 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -16 + 16r + -24r = 64 + 24r + -24r Combine like terms: 16r + -24r = -8r -16 + -8r = 64 + 24r + -24r Combine like terms: 24r + -24r = 0 -16 + -8r = 64 + 0 -16 + -8r = 64 Add '16' to each side of the equation. -16 + 16 + -8r = 64 + 16 Combine like terms: -16 + 16 = 0 0 + -8r = 64 + 16 -8r = 64 + 16 Combine like terms: 64 + 16 = 80 -8r = 80 Divide each side by '-8'. r = -10 Simplifying r = -10
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