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Simplifying -12 + 2n = -7(-4 + -6n) -12 + 2n = (-4 * -7 + -6n * -7) -12 + 2n = (28 + 42n) Solving -12 + 2n = 28 + 42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42n' to each side of the equation. -12 + 2n + -42n = 28 + 42n + -42n Combine like terms: 2n + -42n = -40n -12 + -40n = 28 + 42n + -42n Combine like terms: 42n + -42n = 0 -12 + -40n = 28 + 0 -12 + -40n = 28 Add '12' to each side of the equation. -12 + 12 + -40n = 28 + 12 Combine like terms: -12 + 12 = 0 0 + -40n = 28 + 12 -40n = 28 + 12 Combine like terms: 28 + 12 = 40 -40n = 40 Divide each side by '-40'. n = -1 Simplifying n = -1
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