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Simplifying 10 + -16n + -53 = 3 + 12n Reorder the terms: 10 + -53 + -16n = 3 + 12n Combine like terms: 10 + -53 = -43 -43 + -16n = 3 + 12n Solving -43 + -16n = 3 + 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. -43 + -16n + -12n = 3 + 12n + -12n Combine like terms: -16n + -12n = -28n -43 + -28n = 3 + 12n + -12n Combine like terms: 12n + -12n = 0 -43 + -28n = 3 + 0 -43 + -28n = 3 Add '43' to each side of the equation. -43 + 43 + -28n = 3 + 43 Combine like terms: -43 + 43 = 0 0 + -28n = 3 + 43 -28n = 3 + 43 Combine like terms: 3 + 43 = 46 -28n = 46 Divide each side by '-28'. n = -1.642857143 Simplifying n = -1.642857143
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