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Simplifying 6(5s + 7) = 8(5s + -1) Reorder the terms: 6(7 + 5s) = 8(5s + -1) (7 * 6 + 5s * 6) = 8(5s + -1) (42 + 30s) = 8(5s + -1) Reorder the terms: 42 + 30s = 8(-1 + 5s) 42 + 30s = (-1 * 8 + 5s * 8) 42 + 30s = (-8 + 40s) Solving 42 + 30s = -8 + 40s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-40s' to each side of the equation. 42 + 30s + -40s = -8 + 40s + -40s Combine like terms: 30s + -40s = -10s 42 + -10s = -8 + 40s + -40s Combine like terms: 40s + -40s = 0 42 + -10s = -8 + 0 42 + -10s = -8 Add '-42' to each side of the equation. 42 + -42 + -10s = -8 + -42 Combine like terms: 42 + -42 = 0 0 + -10s = -8 + -42 -10s = -8 + -42 Combine like terms: -8 + -42 = -50 -10s = -50 Divide each side by '-10'. s = 5 Simplifying s = 5
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