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Simplifying 2 + 3(2s + -5) + -3(4z + 6) + -8 = 0 Reorder the terms: 2 + 3(-5 + 2s) + -3(4z + 6) + -8 = 0 2 + (-5 * 3 + 2s * 3) + -3(4z + 6) + -8 = 0 2 + (-15 + 6s) + -3(4z + 6) + -8 = 0 Reorder the terms: 2 + -15 + 6s + -3(6 + 4z) + -8 = 0 2 + -15 + 6s + (6 * -3 + 4z * -3) + -8 = 0 2 + -15 + 6s + (-18 + -12z) + -8 = 0 Reorder the terms: 2 + -15 + -18 + -8 + 6s + -12z = 0 Combine like terms: 2 + -15 = -13 -13 + -18 + -8 + 6s + -12z = 0 Combine like terms: -13 + -18 = -31 -31 + -8 + 6s + -12z = 0 Combine like terms: -31 + -8 = -39 -39 + 6s + -12z = 0 Solving -39 + 6s + -12z = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 6s + 39 + -12z = 0 + 39 Reorder the terms: -39 + 39 + 6s + -12z = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 6s + -12z = 0 + 39 6s + -12z = 0 + 39 Combine like terms: 0 + 39 = 39 6s + -12z = 39 Add '12z' to each side of the equation. 6s + -12z + 12z = 39 + 12z Combine like terms: -12z + 12z = 0 6s + 0 = 39 + 12z 6s = 39 + 12z Divide each side by '6'. s = 6.5 + 2z Simplifying s = 6.5 + 2z
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