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Simplifying 4 + -5(s + 2) = 3 + (s + 1) + -1 Reorder the terms: 4 + -5(2 + s) = 3 + (s + 1) + -1 4 + (2 * -5 + s * -5) = 3 + (s + 1) + -1 4 + (-10 + -5s) = 3 + (s + 1) + -1 Combine like terms: 4 + -10 = -6 -6 + -5s = 3 + (s + 1) + -1 Reorder the terms: -6 + -5s = 3 + (1 + s) + -1 Remove parenthesis around (1 + s) -6 + -5s = 3 + 1 + s + -1 Reorder the terms: -6 + -5s = 3 + 1 + -1 + s Combine like terms: 3 + 1 = 4 -6 + -5s = 4 + -1 + s Combine like terms: 4 + -1 = 3 -6 + -5s = 3 + s Solving -6 + -5s = 3 + 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. -6 + -5s + -1s = 3 + s + -1s Combine like terms: -5s + -1s = -6s -6 + -6s = 3 + s + -1s Combine like terms: s + -1s = 0 -6 + -6s = 3 + 0 -6 + -6s = 3 Add '6' to each side of the equation. -6 + 6 + -6s = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -6s = 3 + 6 -6s = 3 + 6 Combine like terms: 3 + 6 = 9 -6s = 9 Divide each side by '-6'. s = -1.5 Simplifying s = -1.5
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