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Simplifying -5(s + 2) + 5(s + -6) = 40 + -8s Reorder the terms: -5(2 + s) + 5(s + -6) = 40 + -8s (2 * -5 + s * -5) + 5(s + -6) = 40 + -8s (-10 + -5s) + 5(s + -6) = 40 + -8s Reorder the terms: -10 + -5s + 5(-6 + s) = 40 + -8s -10 + -5s + (-6 * 5 + s * 5) = 40 + -8s -10 + -5s + (-30 + 5s) = 40 + -8s Reorder the terms: -10 + -30 + -5s + 5s = 40 + -8s Combine like terms: -10 + -30 = -40 -40 + -5s + 5s = 40 + -8s Combine like terms: -5s + 5s = 0 -40 + 0 = 40 + -8s -40 = 40 + -8s Solving -40 = 40 + -8s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '8s' to each side of the equation. -40 + 8s = 40 + -8s + 8s Combine like terms: -8s + 8s = 0 -40 + 8s = 40 + 0 -40 + 8s = 40 Add '40' to each side of the equation. -40 + 40 + 8s = 40 + 40 Combine like terms: -40 + 40 = 0 0 + 8s = 40 + 40 8s = 40 + 40 Combine like terms: 40 + 40 = 80 8s = 80 Divide each side by '8'. s = 10 Simplifying s = 10
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