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Simplifying -3n + -7n = -4(n + -4) + 8(2n + -4) Combine like terms: -3n + -7n = -10n -10n = -4(n + -4) + 8(2n + -4) Reorder the terms: -10n = -4(-4 + n) + 8(2n + -4) -10n = (-4 * -4 + n * -4) + 8(2n + -4) -10n = (16 + -4n) + 8(2n + -4) Reorder the terms: -10n = 16 + -4n + 8(-4 + 2n) -10n = 16 + -4n + (-4 * 8 + 2n * 8) -10n = 16 + -4n + (-32 + 16n) Reorder the terms: -10n = 16 + -32 + -4n + 16n Combine like terms: 16 + -32 = -16 -10n = -16 + -4n + 16n Combine like terms: -4n + 16n = 12n -10n = -16 + 12n Solving -10n = -16 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -10n + -12n = -16 + 12n + -12n Combine like terms: -10n + -12n = -22n -22n = -16 + 12n + -12n Combine like terms: 12n + -12n = 0 -22n = -16 + 0 -22n = -16 Divide each side by '-22'. n = 0.7272727273 Simplifying n = 0.7272727273
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