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Simplifying 20(s + -9) + -13 = 100 + 19(s + 1) Reorder the terms: 20(-9 + s) + -13 = 100 + 19(s + 1) (-9 * 20 + s * 20) + -13 = 100 + 19(s + 1) (-180 + 20s) + -13 = 100 + 19(s + 1) Reorder the terms: -180 + -13 + 20s = 100 + 19(s + 1) Combine like terms: -180 + -13 = -193 -193 + 20s = 100 + 19(s + 1) Reorder the terms: -193 + 20s = 100 + 19(1 + s) -193 + 20s = 100 + (1 * 19 + s * 19) -193 + 20s = 100 + (19 + 19s) Combine like terms: 100 + 19 = 119 -193 + 20s = 119 + 19s Solving -193 + 20s = 119 + 19s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-19s' to each side of the equation. -193 + 20s + -19s = 119 + 19s + -19s Combine like terms: 20s + -19s = 1s -193 + 1s = 119 + 19s + -19s Combine like terms: 19s + -19s = 0 -193 + 1s = 119 + 0 -193 + 1s = 119 Add '193' to each side of the equation. -193 + 193 + 1s = 119 + 193 Combine like terms: -193 + 193 = 0 0 + 1s = 119 + 193 1s = 119 + 193 Combine like terms: 119 + 193 = 312 1s = 312 Divide each side by '1'. s = 312 Simplifying s = 312
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