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Simplifying 4(4 + -6n) + -3n = -7 + -4n (4 * 4 + -6n * 4) + -3n = -7 + -4n (16 + -24n) + -3n = -7 + -4n Combine like terms: -24n + -3n = -27n 16 + -27n = -7 + -4n Solving 16 + -27n = -7 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 16 + -27n + 4n = -7 + -4n + 4n Combine like terms: -27n + 4n = -23n 16 + -23n = -7 + -4n + 4n Combine like terms: -4n + 4n = 0 16 + -23n = -7 + 0 16 + -23n = -7 Add '-16' to each side of the equation. 16 + -16 + -23n = -7 + -16 Combine like terms: 16 + -16 = 0 0 + -23n = -7 + -16 -23n = -7 + -16 Combine like terms: -7 + -16 = -23 -23n = -23 Divide each side by '-23'. n = 1 Simplifying n = 1
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