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Simplifying 8(3r + -12) = 3(4r + 16) Reorder the terms: 8(-12 + 3r) = 3(4r + 16) (-12 * 8 + 3r * 8) = 3(4r + 16) (-96 + 24r) = 3(4r + 16) Reorder the terms: -96 + 24r = 3(16 + 4r) -96 + 24r = (16 * 3 + 4r * 3) -96 + 24r = (48 + 12r) Solving -96 + 24r = 48 + 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. -96 + 24r + -12r = 48 + 12r + -12r Combine like terms: 24r + -12r = 12r -96 + 12r = 48 + 12r + -12r Combine like terms: 12r + -12r = 0 -96 + 12r = 48 + 0 -96 + 12r = 48 Add '96' to each side of the equation. -96 + 96 + 12r = 48 + 96 Combine like terms: -96 + 96 = 0 0 + 12r = 48 + 96 12r = 48 + 96 Combine like terms: 48 + 96 = 144 12r = 144 Divide each side by '12'. r = 12 Simplifying r = 12
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