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Simplifying -7 + 6(-3n + -7) = -1(2n + 4) + -9 Reorder the terms: -7 + 6(-7 + -3n) = -1(2n + 4) + -9 -7 + (-7 * 6 + -3n * 6) = -1(2n + 4) + -9 -7 + (-42 + -18n) = -1(2n + 4) + -9 Combine like terms: -7 + -42 = -49 -49 + -18n = -1(2n + 4) + -9 Reorder the terms: -49 + -18n = -1(4 + 2n) + -9 -49 + -18n = (4 * -1 + 2n * -1) + -9 -49 + -18n = (-4 + -2n) + -9 Reorder the terms: -49 + -18n = -4 + -9 + -2n Combine like terms: -4 + -9 = -13 -49 + -18n = -13 + -2n Solving -49 + -18n = -13 + -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. -49 + -18n + 2n = -13 + -2n + 2n Combine like terms: -18n + 2n = -16n -49 + -16n = -13 + -2n + 2n Combine like terms: -2n + 2n = 0 -49 + -16n = -13 + 0 -49 + -16n = -13 Add '49' to each side of the equation. -49 + 49 + -16n = -13 + 49 Combine like terms: -49 + 49 = 0 0 + -16n = -13 + 49 -16n = -13 + 49 Combine like terms: -13 + 49 = 36 -16n = 36 Divide each side by '-16'. n = -2.25 Simplifying n = -2.25
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