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Simplifying 6n + -34 = 7(n + -4) Reorder the terms: -34 + 6n = 7(n + -4) Reorder the terms: -34 + 6n = 7(-4 + n) -34 + 6n = (-4 * 7 + n * 7) -34 + 6n = (-28 + 7n) Solving -34 + 6n = -28 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -34 + 6n + -7n = -28 + 7n + -7n Combine like terms: 6n + -7n = -1n -34 + -1n = -28 + 7n + -7n Combine like terms: 7n + -7n = 0 -34 + -1n = -28 + 0 -34 + -1n = -28 Add '34' to each side of the equation. -34 + 34 + -1n = -28 + 34 Combine like terms: -34 + 34 = 0 0 + -1n = -28 + 34 -1n = -28 + 34 Combine like terms: -28 + 34 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6
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