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Simplifying 8(2.15) + 7(s + z) = 19.40 Multiply 8 * 2.15 17.2 + 7(s + z) = 19.40 17.2 + (s * 7 + z * 7) = 19.40 17.2 + (7s + 7z) = 19.40 Solving 17.2 + 7s + 7z = 19.40 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-17.2' to each side of the equation. 17.2 + 7s + -17.2 + 7z = 19.40 + -17.2 Reorder the terms: 17.2 + -17.2 + 7s + 7z = 19.40 + -17.2 Combine like terms: 17.2 + -17.2 = 0.0 0.0 + 7s + 7z = 19.40 + -17.2 7s + 7z = 19.40 + -17.2 Combine like terms: 19.40 + -17.2 = 2.2 7s + 7z = 2.2 Add '-7z' to each side of the equation. 7s + 7z + -7z = 2.2 + -7z Combine like terms: 7z + -7z = 0 7s + 0 = 2.2 + -7z 7s = 2.2 + -7z Divide each side by '7'. s = 0.3142857143 + -1z Simplifying s = 0.3142857143 + -1z
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