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Simplifying 8(4s + 12) + -1r = 3(3r + 2) Reorder the terms: 8(12 + 4s) + -1r = 3(3r + 2) (12 * 8 + 4s * 8) + -1r = 3(3r + 2) (96 + 32s) + -1r = 3(3r + 2) Reorder the terms: 96 + -1r + 32s = 3(3r + 2) Reorder the terms: 96 + -1r + 32s = 3(2 + 3r) 96 + -1r + 32s = (2 * 3 + 3r * 3) 96 + -1r + 32s = (6 + 9r) Solving 96 + -1r + 32s = 6 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 96 + -1r + -9r + 32s = 6 + 9r + -9r Combine like terms: -1r + -9r = -10r 96 + -10r + 32s = 6 + 9r + -9r Combine like terms: 9r + -9r = 0 96 + -10r + 32s = 6 + 0 96 + -10r + 32s = 6 Add '-96' to each side of the equation. 96 + -10r + -96 + 32s = 6 + -96 Reorder the terms: 96 + -96 + -10r + 32s = 6 + -96 Combine like terms: 96 + -96 = 0 0 + -10r + 32s = 6 + -96 -10r + 32s = 6 + -96 Combine like terms: 6 + -96 = -90 -10r + 32s = -90 Add '-32s' to each side of the equation. -10r + 32s + -32s = -90 + -32s Combine like terms: 32s + -32s = 0 -10r + 0 = -90 + -32s -10r = -90 + -32s Divide each side by '-10'. r = 9 + 3.2s Simplifying r = 9 + 3.2s
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