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Simplifying 6 + 3(2s + -8) + -3(4s + 7) + -7 = 0 Reorder the terms: 6 + 3(-8 + 2s) + -3(4s + 7) + -7 = 0 6 + (-8 * 3 + 2s * 3) + -3(4s + 7) + -7 = 0 6 + (-24 + 6s) + -3(4s + 7) + -7 = 0 Reorder the terms: 6 + -24 + 6s + -3(7 + 4s) + -7 = 0 6 + -24 + 6s + (7 * -3 + 4s * -3) + -7 = 0 6 + -24 + 6s + (-21 + -12s) + -7 = 0 Reorder the terms: 6 + -24 + -21 + -7 + 6s + -12s = 0 Combine like terms: 6 + -24 = -18 -18 + -21 + -7 + 6s + -12s = 0 Combine like terms: -18 + -21 = -39 -39 + -7 + 6s + -12s = 0 Combine like terms: -39 + -7 = -46 -46 + 6s + -12s = 0 Combine like terms: 6s + -12s = -6s -46 + -6s = 0 Solving -46 + -6s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -6s = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -6s = 0 + 46 -6s = 0 + 46 Combine like terms: 0 + 46 = 46 -6s = 46 Divide each side by '-6'. s = -7.666666667 Simplifying s = -7.666666667
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