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