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Simplifying 30 + -1(15s + -10) = 5(s + 4) Reorder the terms: 30 + -1(-10 + 15s) = 5(s + 4) 30 + (-10 * -1 + 15s * -1) = 5(s + 4) 30 + (10 + -15s) = 5(s + 4) Combine like terms: 30 + 10 = 40 40 + -15s = 5(s + 4) Reorder the terms: 40 + -15s = 5(4 + s) 40 + -15s = (4 * 5 + s * 5) 40 + -15s = (20 + 5s) Solving 40 + -15s = 20 + 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. 40 + -15s + -5s = 20 + 5s + -5s Combine like terms: -15s + -5s = -20s 40 + -20s = 20 + 5s + -5s Combine like terms: 5s + -5s = 0 40 + -20s = 20 + 0 40 + -20s = 20 Add '-40' to each side of the equation. 40 + -40 + -20s = 20 + -40 Combine like terms: 40 + -40 = 0 0 + -20s = 20 + -40 -20s = 20 + -40 Combine like terms: 20 + -40 = -20 -20s = -20 Divide each side by '-20'. s = 1 Simplifying s = 1
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