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Simplifying 7(-7n + -13) = -1n + -43 Reorder the terms: 7(-13 + -7n) = -1n + -43 (-13 * 7 + -7n * 7) = -1n + -43 (-91 + -49n) = -1n + -43 Reorder the terms: -91 + -49n = -43 + -1n Solving -91 + -49n = -43 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -91 + -49n + n = -43 + -1n + n Combine like terms: -49n + n = -48n -91 + -48n = -43 + -1n + n Combine like terms: -1n + n = 0 -91 + -48n = -43 + 0 -91 + -48n = -43 Add '91' to each side of the equation. -91 + 91 + -48n = -43 + 91 Combine like terms: -91 + 91 = 0 0 + -48n = -43 + 91 -48n = -43 + 91 Combine like terms: -43 + 91 = 48 -48n = 48 Divide each side by '-48'. n = -1 Simplifying n = -1
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