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Simplifying 2(2r + 4) = 6(2r + -16) Reorder the terms: 2(4 + 2r) = 6(2r + -16) (4 * 2 + 2r * 2) = 6(2r + -16) (8 + 4r) = 6(2r + -16) Reorder the terms: 8 + 4r = 6(-16 + 2r) 8 + 4r = (-16 * 6 + 2r * 6) 8 + 4r = (-96 + 12r) Solving 8 + 4r = -96 + 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. 8 + 4r + -12r = -96 + 12r + -12r Combine like terms: 4r + -12r = -8r 8 + -8r = -96 + 12r + -12r Combine like terms: 12r + -12r = 0 8 + -8r = -96 + 0 8 + -8r = -96 Add '-8' to each side of the equation. 8 + -8 + -8r = -96 + -8 Combine like terms: 8 + -8 = 0 0 + -8r = -96 + -8 -8r = -96 + -8 Combine like terms: -96 + -8 = -104 -8r = -104 Divide each side by '-8'. r = 13 Simplifying r = 13
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