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Simplifying 4(s + -7) + 6(s + -23) = 14 Reorder the terms: 4(-7 + s) + 6(s + -23) = 14 (-7 * 4 + s * 4) + 6(s + -23) = 14 (-28 + 4s) + 6(s + -23) = 14 Reorder the terms: -28 + 4s + 6(-23 + s) = 14 -28 + 4s + (-23 * 6 + s * 6) = 14 -28 + 4s + (-138 + 6s) = 14 Reorder the terms: -28 + -138 + 4s + 6s = 14 Combine like terms: -28 + -138 = -166 -166 + 4s + 6s = 14 Combine like terms: 4s + 6s = 10s -166 + 10s = 14 Solving -166 + 10s = 14 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '166' to each side of the equation. -166 + 166 + 10s = 14 + 166 Combine like terms: -166 + 166 = 0 0 + 10s = 14 + 166 10s = 14 + 166 Combine like terms: 14 + 166 = 180 10s = 180 Divide each side by '10'. s = 18 Simplifying s = 18
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