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Simplifying 16(3r + 6) = -8(8r + 12) Reorder the terms: 16(6 + 3r) = -8(8r + 12) (6 * 16 + 3r * 16) = -8(8r + 12) (96 + 48r) = -8(8r + 12) Reorder the terms: 96 + 48r = -8(12 + 8r) 96 + 48r = (12 * -8 + 8r * -8) 96 + 48r = (-96 + -64r) Solving 96 + 48r = -96 + -64r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '64r' to each side of the equation. 96 + 48r + 64r = -96 + -64r + 64r Combine like terms: 48r + 64r = 112r 96 + 112r = -96 + -64r + 64r Combine like terms: -64r + 64r = 0 96 + 112r = -96 + 0 96 + 112r = -96 Add '-96' to each side of the equation. 96 + -96 + 112r = -96 + -96 Combine like terms: 96 + -96 = 0 0 + 112r = -96 + -96 112r = -96 + -96 Combine like terms: -96 + -96 = -192 112r = -192 Divide each side by '112'. r = -1.714285714 Simplifying r = -1.714285714
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