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Simplifying 5s + -2 = 3(s + -11) + -5 Reorder the terms: -2 + 5s = 3(s + -11) + -5 Reorder the terms: -2 + 5s = 3(-11 + s) + -5 -2 + 5s = (-11 * 3 + s * 3) + -5 -2 + 5s = (-33 + 3s) + -5 Reorder the terms: -2 + 5s = -33 + -5 + 3s Combine like terms: -33 + -5 = -38 -2 + 5s = -38 + 3s Solving -2 + 5s = -38 + 3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3s' to each side of the equation. -2 + 5s + -3s = -38 + 3s + -3s Combine like terms: 5s + -3s = 2s -2 + 2s = -38 + 3s + -3s Combine like terms: 3s + -3s = 0 -2 + 2s = -38 + 0 -2 + 2s = -38 Add '2' to each side of the equation. -2 + 2 + 2s = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 2s = -38 + 2 2s = -38 + 2 Combine like terms: -38 + 2 = -36 2s = -36 Divide each side by '2'. s = -18 Simplifying s = -18
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