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Simplifying 3(2s + -1) + -1(4s + 6) = 9(s + 2) + -62 Reorder the terms: 3(-1 + 2s) + -1(4s + 6) = 9(s + 2) + -62 (-1 * 3 + 2s * 3) + -1(4s + 6) = 9(s + 2) + -62 (-3 + 6s) + -1(4s + 6) = 9(s + 2) + -62 Reorder the terms: -3 + 6s + -1(6 + 4s) = 9(s + 2) + -62 -3 + 6s + (6 * -1 + 4s * -1) = 9(s + 2) + -62 -3 + 6s + (-6 + -4s) = 9(s + 2) + -62 Reorder the terms: -3 + -6 + 6s + -4s = 9(s + 2) + -62 Combine like terms: -3 + -6 = -9 -9 + 6s + -4s = 9(s + 2) + -62 Combine like terms: 6s + -4s = 2s -9 + 2s = 9(s + 2) + -62 Reorder the terms: -9 + 2s = 9(2 + s) + -62 -9 + 2s = (2 * 9 + s * 9) + -62 -9 + 2s = (18 + 9s) + -62 Reorder the terms: -9 + 2s = 18 + -62 + 9s Combine like terms: 18 + -62 = -44 -9 + 2s = -44 + 9s Solving -9 + 2s = -44 + 9s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-9s' to each side of the equation. -9 + 2s + -9s = -44 + 9s + -9s Combine like terms: 2s + -9s = -7s -9 + -7s = -44 + 9s + -9s Combine like terms: 9s + -9s = 0 -9 + -7s = -44 + 0 -9 + -7s = -44 Add '9' to each side of the equation. -9 + 9 + -7s = -44 + 9 Combine like terms: -9 + 9 = 0 0 + -7s = -44 + 9 -7s = -44 + 9 Combine like terms: -44 + 9 = -35 -7s = -35 Divide each side by '-7'. s = 5 Simplifying s = 5
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