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Simplifying 3(s + -2) + -6n = 22 + -4(s + -1) Reorder the terms: 3(-2 + s) + -6n = 22 + -4(s + -1) (-2 * 3 + s * 3) + -6n = 22 + -4(s + -1) (-6 + 3s) + -6n = 22 + -4(s + -1) Reorder the terms: -6 + -6n + 3s = 22 + -4(s + -1) Reorder the terms: -6 + -6n + 3s = 22 + -4(-1 + s) -6 + -6n + 3s = 22 + (-1 * -4 + s * -4) -6 + -6n + 3s = 22 + (4 + -4s) Combine like terms: 22 + 4 = 26 -6 + -6n + 3s = 26 + -4s Solving -6 + -6n + 3s = 26 + -4s Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -6n + 6 + 3s = 26 + 6 + -4s Reorder the terms: -6 + 6 + -6n + 3s = 26 + 6 + -4s Combine like terms: -6 + 6 = 0 0 + -6n + 3s = 26 + 6 + -4s -6n + 3s = 26 + 6 + -4s Combine like terms: 26 + 6 = 32 -6n + 3s = 32 + -4s Add '-3s' to each side of the equation. -6n + 3s + -3s = 32 + -4s + -3s Combine like terms: 3s + -3s = 0 -6n + 0 = 32 + -4s + -3s -6n = 32 + -4s + -3s Combine like terms: -4s + -3s = -7s -6n = 32 + -7s Divide each side by '-6'. n = -5.333333333 + 1.166666667s Simplifying n = -5.333333333 + 1.166666667s
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