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Simplifying 6n + -7(n + 1) = 4(8 + 3n) Reorder the terms: 6n + -7(1 + n) = 4(8 + 3n) 6n + (1 * -7 + n * -7) = 4(8 + 3n) 6n + (-7 + -7n) = 4(8 + 3n) Reorder the terms: -7 + 6n + -7n = 4(8 + 3n) Combine like terms: 6n + -7n = -1n -7 + -1n = 4(8 + 3n) -7 + -1n = (8 * 4 + 3n * 4) -7 + -1n = (32 + 12n) Solving -7 + -1n = 32 + 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 + -1n + -12n = 32 + 12n + -12n Combine like terms: -1n + -12n = -13n -7 + -13n = 32 + 12n + -12n Combine like terms: 12n + -12n = 0 -7 + -13n = 32 + 0 -7 + -13n = 32 Add '7' to each side of the equation. -7 + 7 + -13n = 32 + 7 Combine like terms: -7 + 7 = 0 0 + -13n = 32 + 7 -13n = 32 + 7 Combine like terms: 32 + 7 = 39 -13n = 39 Divide each side by '-13'. n = -3 Simplifying n = -3
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