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Simplifying -2(5n + 9) + -3(1 + 2n) = -10n + n Reorder the terms: -2(9 + 5n) + -3(1 + 2n) = -10n + n (9 * -2 + 5n * -2) + -3(1 + 2n) = -10n + n (-18 + -10n) + -3(1 + 2n) = -10n + n -18 + -10n + (1 * -3 + 2n * -3) = -10n + n -18 + -10n + (-3 + -6n) = -10n + n Reorder the terms: -18 + -3 + -10n + -6n = -10n + n Combine like terms: -18 + -3 = -21 -21 + -10n + -6n = -10n + n Combine like terms: -10n + -6n = -16n -21 + -16n = -10n + n Combine like terms: -10n + n = -9n -21 + -16n = -9n Solving -21 + -16n = -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -21 + -16n + 9n = -9n + 9n Combine like terms: -16n + 9n = -7n -21 + -7n = -9n + 9n Combine like terms: -9n + 9n = 0 -21 + -7n = 0 Add '21' to each side of the equation. -21 + 21 + -7n = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -7n = 0 + 21 -7n = 0 + 21 Combine like terms: 0 + 21 = 21 -7n = 21 Divide each side by '-7'. n = -3 Simplifying n = -3
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