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Simplifying -6n + -30 = -2n + 4(1 + 3n) Reorder the terms: -30 + -6n = -2n + 4(1 + 3n) -30 + -6n = -2n + (1 * 4 + 3n * 4) -30 + -6n = -2n + (4 + 12n) Reorder the terms: -30 + -6n = 4 + -2n + 12n Combine like terms: -2n + 12n = 10n -30 + -6n = 4 + 10n Solving -30 + -6n = 4 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -30 + -6n + -10n = 4 + 10n + -10n Combine like terms: -6n + -10n = -16n -30 + -16n = 4 + 10n + -10n Combine like terms: 10n + -10n = 0 -30 + -16n = 4 + 0 -30 + -16n = 4 Add '30' to each side of the equation. -30 + 30 + -16n = 4 + 30 Combine like terms: -30 + 30 = 0 0 + -16n = 4 + 30 -16n = 4 + 30 Combine like terms: 4 + 30 = 34 -16n = 34 Divide each side by '-16'. n = -2.125 Simplifying n = -2.125
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