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Simplifying n + -4(n + 3) = 1 + 10n Reorder the terms: n + -4(3 + n) = 1 + 10n n + (3 * -4 + n * -4) = 1 + 10n n + (-12 + -4n) = 1 + 10n Reorder the terms: -12 + n + -4n = 1 + 10n Combine like terms: n + -4n = -3n -12 + -3n = 1 + 10n Solving -12 + -3n = 1 + 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. -12 + -3n + -10n = 1 + 10n + -10n Combine like terms: -3n + -10n = -13n -12 + -13n = 1 + 10n + -10n Combine like terms: 10n + -10n = 0 -12 + -13n = 1 + 0 -12 + -13n = 1 Add '12' to each side of the equation. -12 + 12 + -13n = 1 + 12 Combine like terms: -12 + 12 = 0 0 + -13n = 1 + 12 -13n = 1 + 12 Combine like terms: 1 + 12 = 13 -13n = 13 Divide each side by '-13'. n = -1 Simplifying n = -1
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