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Simplifying 4(2r + 2) = 4(4r + -8) Reorder the terms: 4(2 + 2r) = 4(4r + -8) (2 * 4 + 2r * 4) = 4(4r + -8) (8 + 8r) = 4(4r + -8) Reorder the terms: 8 + 8r = 4(-8 + 4r) 8 + 8r = (-8 * 4 + 4r * 4) 8 + 8r = (-32 + 16r) Solving 8 + 8r = -32 + 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. 8 + 8r + -16r = -32 + 16r + -16r Combine like terms: 8r + -16r = -8r 8 + -8r = -32 + 16r + -16r Combine like terms: 16r + -16r = 0 8 + -8r = -32 + 0 8 + -8r = -32 Add '-8' to each side of the equation. 8 + -8 + -8r = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -8r = -32 + -8 -8r = -32 + -8 Combine like terms: -32 + -8 = -40 -8r = -40 Divide each side by '-8'. r = 5 Simplifying r = 5
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