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Simplifying 6(s + -12) + 5(s + -13) = 6 Reorder the terms: 6(-12 + s) + 5(s + -13) = 6 (-12 * 6 + s * 6) + 5(s + -13) = 6 (-72 + 6s) + 5(s + -13) = 6 Reorder the terms: -72 + 6s + 5(-13 + s) = 6 -72 + 6s + (-13 * 5 + s * 5) = 6 -72 + 6s + (-65 + 5s) = 6 Reorder the terms: -72 + -65 + 6s + 5s = 6 Combine like terms: -72 + -65 = -137 -137 + 6s + 5s = 6 Combine like terms: 6s + 5s = 11s -137 + 11s = 6 Solving -137 + 11s = 6 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '137' to each side of the equation. -137 + 137 + 11s = 6 + 137 Combine like terms: -137 + 137 = 0 0 + 11s = 6 + 137 11s = 6 + 137 Combine like terms: 6 + 137 = 143 11s = 143 Divide each side by '11'. s = 13 Simplifying s = 13
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