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Simplifying 7(s + 3) = 45 + -3(12 + -1s) Reorder the terms: 7(3 + s) = 45 + -3(12 + -1s) (3 * 7 + s * 7) = 45 + -3(12 + -1s) (21 + 7s) = 45 + -3(12 + -1s) 21 + 7s = 45 + (12 * -3 + -1s * -3) 21 + 7s = 45 + (-36 + 3s) Combine like terms: 45 + -36 = 9 21 + 7s = 9 + 3s Solving 21 + 7s = 9 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. 21 + 7s + -3s = 9 + 3s + -3s Combine like terms: 7s + -3s = 4s 21 + 4s = 9 + 3s + -3s Combine like terms: 3s + -3s = 0 21 + 4s = 9 + 0 21 + 4s = 9 Add '-21' to each side of the equation. 21 + -21 + 4s = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 4s = 9 + -21 4s = 9 + -21 Combine like terms: 9 + -21 = -12 4s = -12 Divide each side by '4'. s = -3 Simplifying s = -3
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