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Simplifying -10(n + 4) + 42 = -19 + -19 Reorder the terms: -10(4 + n) + 42 = -19 + -19 (4 * -10 + n * -10) + 42 = -19 + -19 (-40 + -10n) + 42 = -19 + -19 Reorder the terms: -40 + 42 + -10n = -19 + -19 Combine like terms: -40 + 42 = 2 2 + -10n = -19 + -19 Combine like terms: -19 + -19 = -38 2 + -10n = -38 Solving 2 + -10n = -38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -10n = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -10n = -38 + -2 -10n = -38 + -2 Combine like terms: -38 + -2 = -40 -10n = -40 Divide each side by '-10'. n = 4 Simplifying n = 4
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