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Simplifying 3(8x + 4) + -12s = 3(4s + 3) + -12 Reorder the terms: 3(4 + 8x) + -12s = 3(4s + 3) + -12 (4 * 3 + 8x * 3) + -12s = 3(4s + 3) + -12 (12 + 24x) + -12s = 3(4s + 3) + -12 Reorder the terms: 12 + -12s + 24x = 3(4s + 3) + -12 Reorder the terms: 12 + -12s + 24x = 3(3 + 4s) + -12 12 + -12s + 24x = (3 * 3 + 4s * 3) + -12 12 + -12s + 24x = (9 + 12s) + -12 Reorder the terms: 12 + -12s + 24x = 9 + -12 + 12s Combine like terms: 9 + -12 = -3 12 + -12s + 24x = -3 + 12s Solving 12 + -12s + 24x = -3 + 12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-12s' to each side of the equation. 12 + -12s + -12s + 24x = -3 + 12s + -12s Combine like terms: -12s + -12s = -24s 12 + -24s + 24x = -3 + 12s + -12s Combine like terms: 12s + -12s = 0 12 + -24s + 24x = -3 + 0 12 + -24s + 24x = -3 Add '-12' to each side of the equation. 12 + -24s + -12 + 24x = -3 + -12 Reorder the terms: 12 + -12 + -24s + 24x = -3 + -12 Combine like terms: 12 + -12 = 0 0 + -24s + 24x = -3 + -12 -24s + 24x = -3 + -12 Combine like terms: -3 + -12 = -15 -24s + 24x = -15 Add '-24x' to each side of the equation. -24s + 24x + -24x = -15 + -24x Combine like terms: 24x + -24x = 0 -24s + 0 = -15 + -24x -24s = -15 + -24x Divide each side by '-24'. s = 0.625 + x Simplifying s = 0.625 + x
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