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Simplifying 5(2s + -4) + 14 = 6(s + -1) + -1(2s + 2) Reorder the terms: 5(-4 + 2s) + 14 = 6(s + -1) + -1(2s + 2) (-4 * 5 + 2s * 5) + 14 = 6(s + -1) + -1(2s + 2) (-20 + 10s) + 14 = 6(s + -1) + -1(2s + 2) Reorder the terms: -20 + 14 + 10s = 6(s + -1) + -1(2s + 2) Combine like terms: -20 + 14 = -6 -6 + 10s = 6(s + -1) + -1(2s + 2) Reorder the terms: -6 + 10s = 6(-1 + s) + -1(2s + 2) -6 + 10s = (-1 * 6 + s * 6) + -1(2s + 2) -6 + 10s = (-6 + 6s) + -1(2s + 2) Reorder the terms: -6 + 10s = -6 + 6s + -1(2 + 2s) -6 + 10s = -6 + 6s + (2 * -1 + 2s * -1) -6 + 10s = -6 + 6s + (-2 + -2s) Reorder the terms: -6 + 10s = -6 + -2 + 6s + -2s Combine like terms: -6 + -2 = -8 -6 + 10s = -8 + 6s + -2s Combine like terms: 6s + -2s = 4s -6 + 10s = -8 + 4s Solving -6 + 10s = -8 + 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 + 10s + -4s = -8 + 4s + -4s Combine like terms: 10s + -4s = 6s -6 + 6s = -8 + 4s + -4s Combine like terms: 4s + -4s = 0 -6 + 6s = -8 + 0 -6 + 6s = -8 Add '6' to each side of the equation. -6 + 6 + 6s = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 6s = -8 + 6 6s = -8 + 6 Combine like terms: -8 + 6 = -2 6s = -2 Divide each side by '6'. s = -0.3333333333 Simplifying s = -0.3333333333
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