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Simplifying 10 = -2(s + 2) + 3(s + -10) Reorder the terms: 10 = -2(2 + s) + 3(s + -10) 10 = (2 * -2 + s * -2) + 3(s + -10) 10 = (-4 + -2s) + 3(s + -10) Reorder the terms: 10 = -4 + -2s + 3(-10 + s) 10 = -4 + -2s + (-10 * 3 + s * 3) 10 = -4 + -2s + (-30 + 3s) Reorder the terms: 10 = -4 + -30 + -2s + 3s Combine like terms: -4 + -30 = -34 10 = -34 + -2s + 3s Combine like terms: -2s + 3s = 1s 10 = -34 + 1s Solving 10 = -34 + 1s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1s' to each side of the equation. 10 + -1s = -34 + 1s + -1s Combine like terms: 1s + -1s = 0 10 + -1s = -34 + 0 10 + -1s = -34 Add '-10' to each side of the equation. 10 + -10 + -1s = -34 + -10 Combine like terms: 10 + -10 = 0 0 + -1s = -34 + -10 -1s = -34 + -10 Combine like terms: -34 + -10 = -44 -1s = -44 Divide each side by '-1'. s = 44 Simplifying s = 44
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