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Simplifying -46 + 10(2s + -1) = 39s + 1 Reorder the terms: -46 + 10(-1 + 2s) = 39s + 1 -46 + (-1 * 10 + 2s * 10) = 39s + 1 -46 + (-10 + 20s) = 39s + 1 Combine like terms: -46 + -10 = -56 -56 + 20s = 39s + 1 Reorder the terms: -56 + 20s = 1 + 39s Solving -56 + 20s = 1 + 39s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-39s' to each side of the equation. -56 + 20s + -39s = 1 + 39s + -39s Combine like terms: 20s + -39s = -19s -56 + -19s = 1 + 39s + -39s Combine like terms: 39s + -39s = 0 -56 + -19s = 1 + 0 -56 + -19s = 1 Add '56' to each side of the equation. -56 + 56 + -19s = 1 + 56 Combine like terms: -56 + 56 = 0 0 + -19s = 1 + 56 -19s = 1 + 56 Combine like terms: 1 + 56 = 57 -19s = 57 Divide each side by '-19'. s = -3 Simplifying s = -3
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