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Simplifying s + (3s + -2) + (4s + -4) = 42 Reorder the terms: s + (-2 + 3s) + (4s + -4) = 42 Remove parenthesis around (-2 + 3s) s + -2 + 3s + (4s + -4) = 42 Reorder the terms: s + -2 + 3s + (-4 + 4s) = 42 Remove parenthesis around (-4 + 4s) s + -2 + 3s + -4 + 4s = 42 Reorder the terms: -2 + -4 + s + 3s + 4s = 42 Combine like terms: -2 + -4 = -6 -6 + s + 3s + 4s = 42 Combine like terms: s + 3s = 4s -6 + 4s + 4s = 42 Combine like terms: 4s + 4s = 8s -6 + 8s = 42 Solving -6 + 8s = 42 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 8s = 42 + 6 Combine like terms: -6 + 6 = 0 0 + 8s = 42 + 6 8s = 42 + 6 Combine like terms: 42 + 6 = 48 8s = 48 Divide each side by '8'. s = 6 Simplifying s = 6
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