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Simplifying -2(4s + -3) + -6 = -2(7s + 0) + -2 Reorder the terms: -2(-3 + 4s) + -6 = -2(7s + 0) + -2 (-3 * -2 + 4s * -2) + -6 = -2(7s + 0) + -2 (6 + -8s) + -6 = -2(7s + 0) + -2 Reorder the terms: 6 + -6 + -8s = -2(7s + 0) + -2 Combine like terms: 6 + -6 = 0 0 + -8s = -2(7s + 0) + -2 -8s = -2(7s + 0) + -2 Reorder the terms: -8s = -2(0 + 7s) + -2 Remove the zero: -8s = -2(7s) + -2 Remove parenthesis around (7s) -8s = -2 * 7s + -2 Multiply -2 * 7 -8s = -14s + -2 Reorder the terms: -8s = -2 + -14s Solving -8s = -2 + -14s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '14s' to each side of the equation. -8s + 14s = -2 + -14s + 14s Combine like terms: -8s + 14s = 6s 6s = -2 + -14s + 14s Combine like terms: -14s + 14s = 0 6s = -2 + 0 6s = -2 Divide each side by '6'. s = -0.3333333333 Simplifying s = -0.3333333333
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