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Simplifying 5 + -2s + 45 = 8(5) + s Reorder the terms: 5 + 45 + -2s = 8(5) + s Combine like terms: 5 + 45 = 50 50 + -2s = 8(5) + s Multiply 8 * 5 50 + -2s = 40 + s Solving 50 + -2s = 40 + s 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. 50 + -2s + -1s = 40 + s + -1s Combine like terms: -2s + -1s = -3s 50 + -3s = 40 + s + -1s Combine like terms: s + -1s = 0 50 + -3s = 40 + 0 50 + -3s = 40 Add '-50' to each side of the equation. 50 + -50 + -3s = 40 + -50 Combine like terms: 50 + -50 = 0 0 + -3s = 40 + -50 -3s = 40 + -50 Combine like terms: 40 + -50 = -10 -3s = -10 Divide each side by '-3'. s = 3.333333333 Simplifying s = 3.333333333
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