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Simplifying 4(s + 2) + -6s + 15 = 10 + -1(s + -8) Reorder the terms: 4(2 + s) + -6s + 15 = 10 + -1(s + -8) (2 * 4 + s * 4) + -6s + 15 = 10 + -1(s + -8) (8 + 4s) + -6s + 15 = 10 + -1(s + -8) Reorder the terms: 8 + 15 + 4s + -6s = 10 + -1(s + -8) Combine like terms: 8 + 15 = 23 23 + 4s + -6s = 10 + -1(s + -8) Combine like terms: 4s + -6s = -2s 23 + -2s = 10 + -1(s + -8) Reorder the terms: 23 + -2s = 10 + -1(-8 + s) 23 + -2s = 10 + (-8 * -1 + s * -1) 23 + -2s = 10 + (8 + -1s) Combine like terms: 10 + 8 = 18 23 + -2s = 18 + -1s Solving 23 + -2s = 18 + -1s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add 's' to each side of the equation. 23 + -2s + s = 18 + -1s + s Combine like terms: -2s + s = -1s 23 + -1s = 18 + -1s + s Combine like terms: -1s + s = 0 23 + -1s = 18 + 0 23 + -1s = 18 Add '-23' to each side of the equation. 23 + -23 + -1s = 18 + -23 Combine like terms: 23 + -23 = 0 0 + -1s = 18 + -23 -1s = 18 + -23 Combine like terms: 18 + -23 = -5 -1s = -5 Divide each side by '-1'. s = 5 Simplifying s = 5
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