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Simplifying 10n + -10 = 4 + 12(n + 11) Reorder the terms: -10 + 10n = 4 + 12(n + 11) Reorder the terms: -10 + 10n = 4 + 12(11 + n) -10 + 10n = 4 + (11 * 12 + n * 12) -10 + 10n = 4 + (132 + 12n) Combine like terms: 4 + 132 = 136 -10 + 10n = 136 + 12n Solving -10 + 10n = 136 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -10 + 10n + -12n = 136 + 12n + -12n Combine like terms: 10n + -12n = -2n -10 + -2n = 136 + 12n + -12n Combine like terms: 12n + -12n = 0 -10 + -2n = 136 + 0 -10 + -2n = 136 Add '10' to each side of the equation. -10 + 10 + -2n = 136 + 10 Combine like terms: -10 + 10 = 0 0 + -2n = 136 + 10 -2n = 136 + 10 Combine like terms: 136 + 10 = 146 -2n = 146 Divide each side by '-2'. n = -73 Simplifying n = -73
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