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Simplifying 3(s + -2) + -6s = 22 + -4(s + -1) Reorder the terms: 3(-2 + s) + -6s = 22 + -4(s + -1) (-2 * 3 + s * 3) + -6s = 22 + -4(s + -1) (-6 + 3s) + -6s = 22 + -4(s + -1) Combine like terms: 3s + -6s = -3s -6 + -3s = 22 + -4(s + -1) Reorder the terms: -6 + -3s = 22 + -4(-1 + s) -6 + -3s = 22 + (-1 * -4 + s * -4) -6 + -3s = 22 + (4 + -4s) Combine like terms: 22 + 4 = 26 -6 + -3s = 26 + -4s Solving -6 + -3s = 26 + -4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '4s' to each side of the equation. -6 + -3s + 4s = 26 + -4s + 4s Combine like terms: -3s + 4s = 1s -6 + 1s = 26 + -4s + 4s Combine like terms: -4s + 4s = 0 -6 + 1s = 26 + 0 -6 + 1s = 26 Add '6' to each side of the equation. -6 + 6 + 1s = 26 + 6 Combine like terms: -6 + 6 = 0 0 + 1s = 26 + 6 1s = 26 + 6 Combine like terms: 26 + 6 = 32 1s = 32 Divide each side by '1'. s = 32 Simplifying s = 32
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