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Simplifying -172 = -4(7 + -6n) + -6n -172 = (7 * -4 + -6n * -4) + -6n -172 = (-28 + 24n) + -6n Combine like terms: 24n + -6n = 18n -172 = -28 + 18n Solving -172 = -28 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. -172 + -18n = -28 + 18n + -18n Combine like terms: 18n + -18n = 0 -172 + -18n = -28 + 0 -172 + -18n = -28 Add '172' to each side of the equation. -172 + 172 + -18n = -28 + 172 Combine like terms: -172 + 172 = 0 0 + -18n = -28 + 172 -18n = -28 + 172 Combine like terms: -28 + 172 = 144 -18n = 144 Divide each side by '-18'. n = -8 Simplifying n = -8
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