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Simplifying -4n + 6(-3n + -2) = -4 + -5(3 + 3n) Reorder the terms: -4n + 6(-2 + -3n) = -4 + -5(3 + 3n) -4n + (-2 * 6 + -3n * 6) = -4 + -5(3 + 3n) -4n + (-12 + -18n) = -4 + -5(3 + 3n) Reorder the terms: -12 + -4n + -18n = -4 + -5(3 + 3n) Combine like terms: -4n + -18n = -22n -12 + -22n = -4 + -5(3 + 3n) -12 + -22n = -4 + (3 * -5 + 3n * -5) -12 + -22n = -4 + (-15 + -15n) Combine like terms: -4 + -15 = -19 -12 + -22n = -19 + -15n Solving -12 + -22n = -19 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -12 + -22n + 15n = -19 + -15n + 15n Combine like terms: -22n + 15n = -7n -12 + -7n = -19 + -15n + 15n Combine like terms: -15n + 15n = 0 -12 + -7n = -19 + 0 -12 + -7n = -19 Add '12' to each side of the equation. -12 + 12 + -7n = -19 + 12 Combine like terms: -12 + 12 = 0 0 + -7n = -19 + 12 -7n = -19 + 12 Combine like terms: -19 + 12 = -7 -7n = -7 Divide each side by '-7'. n = 1 Simplifying n = 1
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