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Simplifying -10n + (-5n) + 12n + -1(-19) = 4 Multiply -1 * -19 -10n + (-5n) + 12n + 19 = 4 Reorder the terms: 19 + -10n + (-5n) + 12n = 4 Combine like terms: -10n + (-5n) = -15n 19 + -15n + 12n = 4 Combine like terms: -15n + 12n = -3n 19 + -3n = 4 Solving 19 + -3n = 4 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -3n = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -3n = 4 + -19 -3n = 4 + -19 Combine like terms: 4 + -19 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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