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Simplifying 5 + -6(2 + n) = n + -14(n + 3) 5 + (2 * -6 + n * -6) = n + -14(n + 3) 5 + (-12 + -6n) = n + -14(n + 3) Combine like terms: 5 + -12 = -7 -7 + -6n = n + -14(n + 3) Reorder the terms: -7 + -6n = n + -14(3 + n) -7 + -6n = n + (3 * -14 + n * -14) -7 + -6n = n + (-42 + -14n) Reorder the terms: -7 + -6n = -42 + n + -14n Combine like terms: n + -14n = -13n -7 + -6n = -42 + -13n Solving -7 + -6n = -42 + -13n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13n' to each side of the equation. -7 + -6n + 13n = -42 + -13n + 13n Combine like terms: -6n + 13n = 7n -7 + 7n = -42 + -13n + 13n Combine like terms: -13n + 13n = 0 -7 + 7n = -42 + 0 -7 + 7n = -42 Add '7' to each side of the equation. -7 + 7 + 7n = -42 + 7 Combine like terms: -7 + 7 = 0 0 + 7n = -42 + 7 7n = -42 + 7 Combine like terms: -42 + 7 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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