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Simplifying -7(12n + -3) + -9(3 + 9n) = 10n + 4 + -10 Reorder the terms: -7(-3 + 12n) + -9(3 + 9n) = 10n + 4 + -10 (-3 * -7 + 12n * -7) + -9(3 + 9n) = 10n + 4 + -10 (21 + -84n) + -9(3 + 9n) = 10n + 4 + -10 21 + -84n + (3 * -9 + 9n * -9) = 10n + 4 + -10 21 + -84n + (-27 + -81n) = 10n + 4 + -10 Reorder the terms: 21 + -27 + -84n + -81n = 10n + 4 + -10 Combine like terms: 21 + -27 = -6 -6 + -84n + -81n = 10n + 4 + -10 Combine like terms: -84n + -81n = -165n -6 + -165n = 10n + 4 + -10 Reorder the terms: -6 + -165n = 4 + -10 + 10n Combine like terms: 4 + -10 = -6 -6 + -165n = -6 + 10n Add '6' to each side of the equation. -6 + 6 + -165n = -6 + 6 + 10n Combine like terms: -6 + 6 = 0 0 + -165n = -6 + 6 + 10n -165n = -6 + 6 + 10n Combine like terms: -6 + 6 = 0 -165n = 0 + 10n -165n = 10n Solving -165n = 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -165n + -10n = 10n + -10n Combine like terms: -165n + -10n = -175n -175n = 10n + -10n Combine like terms: 10n + -10n = 0 -175n = 0 Divide each side by '-175'. n = 0 Simplifying n = 0
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