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Simplifying 3 + -2(5s + 12) = 21(s + 2) + -8s Reorder the terms: 3 + -2(12 + 5s) = 21(s + 2) + -8s 3 + (12 * -2 + 5s * -2) = 21(s + 2) + -8s 3 + (-24 + -10s) = 21(s + 2) + -8s Combine like terms: 3 + -24 = -21 -21 + -10s = 21(s + 2) + -8s Reorder the terms: -21 + -10s = 21(2 + s) + -8s -21 + -10s = (2 * 21 + s * 21) + -8s -21 + -10s = (42 + 21s) + -8s Combine like terms: 21s + -8s = 13s -21 + -10s = 42 + 13s Solving -21 + -10s = 42 + 13s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-13s' to each side of the equation. -21 + -10s + -13s = 42 + 13s + -13s Combine like terms: -10s + -13s = -23s -21 + -23s = 42 + 13s + -13s Combine like terms: 13s + -13s = 0 -21 + -23s = 42 + 0 -21 + -23s = 42 Add '21' to each side of the equation. -21 + 21 + -23s = 42 + 21 Combine like terms: -21 + 21 = 0 0 + -23s = 42 + 21 -23s = 42 + 21 Combine like terms: 42 + 21 = 63 -23s = 63 Divide each side by '-23'. s = -2.739130435 Simplifying s = -2.739130435
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