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Simplifying 4s + 12 = 3(2s + -1) + 21 Reorder the terms: 12 + 4s = 3(2s + -1) + 21 Reorder the terms: 12 + 4s = 3(-1 + 2s) + 21 12 + 4s = (-1 * 3 + 2s * 3) + 21 12 + 4s = (-3 + 6s) + 21 Reorder the terms: 12 + 4s = -3 + 21 + 6s Combine like terms: -3 + 21 = 18 12 + 4s = 18 + 6s Solving 12 + 4s = 18 + 6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6s' to each side of the equation. 12 + 4s + -6s = 18 + 6s + -6s Combine like terms: 4s + -6s = -2s 12 + -2s = 18 + 6s + -6s Combine like terms: 6s + -6s = 0 12 + -2s = 18 + 0 12 + -2s = 18 Add '-12' to each side of the equation. 12 + -12 + -2s = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -2s = 18 + -12 -2s = 18 + -12 Combine like terms: 18 + -12 = 6 -2s = 6 Divide each side by '-2'. s = -3 Simplifying s = -3
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