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Simplifying -4(n + 3) + -6 = -2(n + -7) Reorder the terms: -4(3 + n) + -6 = -2(n + -7) (3 * -4 + n * -4) + -6 = -2(n + -7) (-12 + -4n) + -6 = -2(n + -7) Reorder the terms: -12 + -6 + -4n = -2(n + -7) Combine like terms: -12 + -6 = -18 -18 + -4n = -2(n + -7) Reorder the terms: -18 + -4n = -2(-7 + n) -18 + -4n = (-7 * -2 + n * -2) -18 + -4n = (14 + -2n) Solving -18 + -4n = 14 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -18 + -4n + 2n = 14 + -2n + 2n Combine like terms: -4n + 2n = -2n -18 + -2n = 14 + -2n + 2n Combine like terms: -2n + 2n = 0 -18 + -2n = 14 + 0 -18 + -2n = 14 Add '18' to each side of the equation. -18 + 18 + -2n = 14 + 18 Combine like terms: -18 + 18 = 0 0 + -2n = 14 + 18 -2n = 14 + 18 Combine like terms: 14 + 18 = 32 -2n = 32 Divide each side by '-2'. n = -16 Simplifying n = -16
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