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Simplifying 2(-5n + -3) + 6(n + -8) = -7 + n + 8 Reorder the terms: 2(-3 + -5n) + 6(n + -8) = -7 + n + 8 (-3 * 2 + -5n * 2) + 6(n + -8) = -7 + n + 8 (-6 + -10n) + 6(n + -8) = -7 + n + 8 Reorder the terms: -6 + -10n + 6(-8 + n) = -7 + n + 8 -6 + -10n + (-8 * 6 + n * 6) = -7 + n + 8 -6 + -10n + (-48 + 6n) = -7 + n + 8 Reorder the terms: -6 + -48 + -10n + 6n = -7 + n + 8 Combine like terms: -6 + -48 = -54 -54 + -10n + 6n = -7 + n + 8 Combine like terms: -10n + 6n = -4n -54 + -4n = -7 + n + 8 Reorder the terms: -54 + -4n = -7 + 8 + n Combine like terms: -7 + 8 = 1 -54 + -4n = 1 + n Solving -54 + -4n = 1 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -54 + -4n + -1n = 1 + n + -1n Combine like terms: -4n + -1n = -5n -54 + -5n = 1 + n + -1n Combine like terms: n + -1n = 0 -54 + -5n = 1 + 0 -54 + -5n = 1 Add '54' to each side of the equation. -54 + 54 + -5n = 1 + 54 Combine like terms: -54 + 54 = 0 0 + -5n = 1 + 54 -5n = 1 + 54 Combine like terms: 1 + 54 = 55 -5n = 55 Divide each side by '-5'. n = -11 Simplifying n = -11
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