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Simplifying 2 + 3(2s + -5) + -3(4s + 2) + -10 = 0 Reorder the terms: 2 + 3(-5 + 2s) + -3(4s + 2) + -10 = 0 2 + (-5 * 3 + 2s * 3) + -3(4s + 2) + -10 = 0 2 + (-15 + 6s) + -3(4s + 2) + -10 = 0 Reorder the terms: 2 + -15 + 6s + -3(2 + 4s) + -10 = 0 2 + -15 + 6s + (2 * -3 + 4s * -3) + -10 = 0 2 + -15 + 6s + (-6 + -12s) + -10 = 0 Reorder the terms: 2 + -15 + -6 + -10 + 6s + -12s = 0 Combine like terms: 2 + -15 = -13 -13 + -6 + -10 + 6s + -12s = 0 Combine like terms: -13 + -6 = -19 -19 + -10 + 6s + -12s = 0 Combine like terms: -19 + -10 = -29 -29 + 6s + -12s = 0 Combine like terms: 6s + -12s = -6s -29 + -6s = 0 Solving -29 + -6s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -6s = 0 + 29 Combine like terms: -29 + 29 = 0 0 + -6s = 0 + 29 -6s = 0 + 29 Combine like terms: 0 + 29 = 29 -6s = 29 Divide each side by '-6'. s = -4.833333333 Simplifying s = -4.833333333
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