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Simplifying -5(2s + 8) + 2(s + -4) = 0 Reorder the terms: -5(8 + 2s) + 2(s + -4) = 0 (8 * -5 + 2s * -5) + 2(s + -4) = 0 (-40 + -10s) + 2(s + -4) = 0 Reorder the terms: -40 + -10s + 2(-4 + s) = 0 -40 + -10s + (-4 * 2 + s * 2) = 0 -40 + -10s + (-8 + 2s) = 0 Reorder the terms: -40 + -8 + -10s + 2s = 0 Combine like terms: -40 + -8 = -48 -48 + -10s + 2s = 0 Combine like terms: -10s + 2s = -8s -48 + -8s = 0 Solving -48 + -8s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -8s = 0 + 48 Combine like terms: -48 + 48 = 0 0 + -8s = 0 + 48 -8s = 0 + 48 Combine like terms: 0 + 48 = 48 -8s = 48 Divide each side by '-8'. s = -6 Simplifying s = -6
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