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Simplifying 6n + -34 = n + 4(7n + 3) Reorder the terms: -34 + 6n = n + 4(7n + 3) Reorder the terms: -34 + 6n = n + 4(3 + 7n) -34 + 6n = n + (3 * 4 + 7n * 4) -34 + 6n = n + (12 + 28n) Reorder the terms: -34 + 6n = 12 + n + 28n Combine like terms: n + 28n = 29n -34 + 6n = 12 + 29n Solving -34 + 6n = 12 + 29n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29n' to each side of the equation. -34 + 6n + -29n = 12 + 29n + -29n Combine like terms: 6n + -29n = -23n -34 + -23n = 12 + 29n + -29n Combine like terms: 29n + -29n = 0 -34 + -23n = 12 + 0 -34 + -23n = 12 Add '34' to each side of the equation. -34 + 34 + -23n = 12 + 34 Combine like terms: -34 + 34 = 0 0 + -23n = 12 + 34 -23n = 12 + 34 Combine like terms: 12 + 34 = 46 -23n = 46 Divide each side by '-23'. n = -2 Simplifying n = -2
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