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Simplifying -19 + -6n = -7(-8 + -10n) + -1n -19 + -6n = (-8 * -7 + -10n * -7) + -1n -19 + -6n = (56 + 70n) + -1n Combine like terms: 70n + -1n = 69n -19 + -6n = 56 + 69n Solving -19 + -6n = 56 + 69n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-69n' to each side of the equation. -19 + -6n + -69n = 56 + 69n + -69n Combine like terms: -6n + -69n = -75n -19 + -75n = 56 + 69n + -69n Combine like terms: 69n + -69n = 0 -19 + -75n = 56 + 0 -19 + -75n = 56 Add '19' to each side of the equation. -19 + 19 + -75n = 56 + 19 Combine like terms: -19 + 19 = 0 0 + -75n = 56 + 19 -75n = 56 + 19 Combine like terms: 56 + 19 = 75 -75n = 75 Divide each side by '-75'. n = -1 Simplifying n = -1
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