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Simplifying -6(4s + -7) + -2(s + -5) = 0 Reorder the terms: -6(-7 + 4s) + -2(s + -5) = 0 (-7 * -6 + 4s * -6) + -2(s + -5) = 0 (42 + -24s) + -2(s + -5) = 0 Reorder the terms: 42 + -24s + -2(-5 + s) = 0 42 + -24s + (-5 * -2 + s * -2) = 0 42 + -24s + (10 + -2s) = 0 Reorder the terms: 42 + 10 + -24s + -2s = 0 Combine like terms: 42 + 10 = 52 52 + -24s + -2s = 0 Combine like terms: -24s + -2s = -26s 52 + -26s = 0 Solving 52 + -26s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + -26s = 0 + -52 Combine like terms: 52 + -52 = 0 0 + -26s = 0 + -52 -26s = 0 + -52 Combine like terms: 0 + -52 = -52 -26s = -52 Divide each side by '-26'. s = 2 Simplifying s = 2
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