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Simplifying -19 = 4(-6n + -3) + -7(n + 1) Reorder the terms: -19 = 4(-3 + -6n) + -7(n + 1) -19 = (-3 * 4 + -6n * 4) + -7(n + 1) -19 = (-12 + -24n) + -7(n + 1) Reorder the terms: -19 = -12 + -24n + -7(1 + n) -19 = -12 + -24n + (1 * -7 + n * -7) -19 = -12 + -24n + (-7 + -7n) Reorder the terms: -19 = -12 + -7 + -24n + -7n Combine like terms: -12 + -7 = -19 -19 = -19 + -24n + -7n Combine like terms: -24n + -7n = -31n -19 = -19 + -31n Add '19' to each side of the equation. -19 + 19 = -19 + 19 + -31n Combine like terms: -19 + 19 = 0 0 = -19 + 19 + -31n Combine like terms: -19 + 19 = 0 0 = 0 + -31n 0 = -31n Solving 0 = -31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '31n' to each side of the equation. 0 + 31n = -31n + 31n Remove the zero: 31n = -31n + 31n Combine like terms: -31n + 31n = 0 31n = 0 Divide each side by '31'. n = 0 Simplifying n = 0
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