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Simplifying -4 + -5n = -7 + -3(1 + 2n) -4 + -5n = -7 + (1 * -3 + 2n * -3) -4 + -5n = -7 + (-3 + -6n) Combine like terms: -7 + -3 = -10 -4 + -5n = -10 + -6n Solving -4 + -5n = -10 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -4 + -5n + 6n = -10 + -6n + 6n Combine like terms: -5n + 6n = 1n -4 + 1n = -10 + -6n + 6n Combine like terms: -6n + 6n = 0 -4 + 1n = -10 + 0 -4 + 1n = -10 Add '4' to each side of the equation. -4 + 4 + 1n = -10 + 4 Combine like terms: -4 + 4 = 0 0 + 1n = -10 + 4 1n = -10 + 4 Combine like terms: -10 + 4 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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