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Simplifying -2(5s + -6) + -12 = -2(7s + 0) + -2 Reorder the terms: -2(-6 + 5s) + -12 = -2(7s + 0) + -2 (-6 * -2 + 5s * -2) + -12 = -2(7s + 0) + -2 (12 + -10s) + -12 = -2(7s + 0) + -2 Reorder the terms: 12 + -12 + -10s = -2(7s + 0) + -2 Combine like terms: 12 + -12 = 0 0 + -10s = -2(7s + 0) + -2 -10s = -2(7s + 0) + -2 Reorder the terms: -10s = -2(0 + 7s) + -2 Remove the zero: -10s = -2(7s) + -2 Remove parenthesis around (7s) -10s = -2 * 7s + -2 Multiply -2 * 7 -10s = -14s + -2 Reorder the terms: -10s = -2 + -14s Solving -10s = -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. -10s + 14s = -2 + -14s + 14s Combine like terms: -10s + 14s = 4s 4s = -2 + -14s + 14s Combine like terms: -14s + 14s = 0 4s = -2 + 0 4s = -2 Divide each side by '4'. s = -0.5 Simplifying s = -0.5
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