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Simplifying 99 = -7(1 + 4n) + -6 99 = (1 * -7 + 4n * -7) + -6 99 = (-7 + -28n) + -6 Reorder the terms: 99 = -7 + -6 + -28n Combine like terms: -7 + -6 = -13 99 = -13 + -28n Solving 99 = -13 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 99 + 28n = -13 + -28n + 28n Combine like terms: -28n + 28n = 0 99 + 28n = -13 + 0 99 + 28n = -13 Add '-99' to each side of the equation. 99 + -99 + 28n = -13 + -99 Combine like terms: 99 + -99 = 0 0 + 28n = -13 + -99 28n = -13 + -99 Combine like terms: -13 + -99 = -112 28n = -112 Divide each side by '28'. n = -4 Simplifying n = -4
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