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Simplifying 18 + -0.7(s + -15) = 0.8(9s + -15) Reorder the terms: 18 + -0.7(-15 + s) = 0.8(9s + -15) 18 + (-15 * -0.7 + s * -0.7) = 0.8(9s + -15) 18 + (10.5 + -0.7s) = 0.8(9s + -15) Combine like terms: 18 + 10.5 = 28.5 28.5 + -0.7s = 0.8(9s + -15) Reorder the terms: 28.5 + -0.7s = 0.8(-15 + 9s) 28.5 + -0.7s = (-15 * 0.8 + 9s * 0.8) 28.5 + -0.7s = (-12 + 7.2s) Solving 28.5 + -0.7s = -12 + 7.2s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-7.2s' to each side of the equation. 28.5 + -0.7s + -7.2s = -12 + 7.2s + -7.2s Combine like terms: -0.7s + -7.2s = -7.9s 28.5 + -7.9s = -12 + 7.2s + -7.2s Combine like terms: 7.2s + -7.2s = 0.0 28.5 + -7.9s = -12 + 0.0 28.5 + -7.9s = -12 Add '-28.5' to each side of the equation. 28.5 + -28.5 + -7.9s = -12 + -28.5 Combine like terms: 28.5 + -28.5 = 0.0 0.0 + -7.9s = -12 + -28.5 -7.9s = -12 + -28.5 Combine like terms: -12 + -28.5 = -40.5 -7.9s = -40.5 Divide each side by '-7.9'. s = 5.126582278 Simplifying s = 5.126582278
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