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Simplifying -6(s + 7) = 10(3 + -1s) Reorder the terms: -6(7 + s) = 10(3 + -1s) (7 * -6 + s * -6) = 10(3 + -1s) (-42 + -6s) = 10(3 + -1s) -42 + -6s = (3 * 10 + -1s * 10) -42 + -6s = (30 + -10s) Solving -42 + -6s = 30 + -10s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '10s' to each side of the equation. -42 + -6s + 10s = 30 + -10s + 10s Combine like terms: -6s + 10s = 4s -42 + 4s = 30 + -10s + 10s Combine like terms: -10s + 10s = 0 -42 + 4s = 30 + 0 -42 + 4s = 30 Add '42' to each side of the equation. -42 + 42 + 4s = 30 + 42 Combine like terms: -42 + 42 = 0 0 + 4s = 30 + 42 4s = 30 + 42 Combine like terms: 30 + 42 = 72 4s = 72 Divide each side by '4'. s = 18 Simplifying s = 18
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