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Simplifying 10s + 3 = 19(2s + -4) + -9 Reorder the terms: 3 + 10s = 19(2s + -4) + -9 Reorder the terms: 3 + 10s = 19(-4 + 2s) + -9 3 + 10s = (-4 * 19 + 2s * 19) + -9 3 + 10s = (-76 + 38s) + -9 Reorder the terms: 3 + 10s = -76 + -9 + 38s Combine like terms: -76 + -9 = -85 3 + 10s = -85 + 38s Solving 3 + 10s = -85 + 38s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-38s' to each side of the equation. 3 + 10s + -38s = -85 + 38s + -38s Combine like terms: 10s + -38s = -28s 3 + -28s = -85 + 38s + -38s Combine like terms: 38s + -38s = 0 3 + -28s = -85 + 0 3 + -28s = -85 Add '-3' to each side of the equation. 3 + -3 + -28s = -85 + -3 Combine like terms: 3 + -3 = 0 0 + -28s = -85 + -3 -28s = -85 + -3 Combine like terms: -85 + -3 = -88 -28s = -88 Divide each side by '-28'. s = 3.142857143 Simplifying s = 3.142857143
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