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Simplifying 3(-5n + -3) = 23 + n Reorder the terms: 3(-3 + -5n) = 23 + n (-3 * 3 + -5n * 3) = 23 + n (-9 + -15n) = 23 + n Solving -9 + -15n = 23 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -9 + -15n + -1n = 23 + n + -1n Combine like terms: -15n + -1n = -16n -9 + -16n = 23 + n + -1n Combine like terms: n + -1n = 0 -9 + -16n = 23 + 0 -9 + -16n = 23 Add '9' to each side of the equation. -9 + 9 + -16n = 23 + 9 Combine like terms: -9 + 9 = 0 0 + -16n = 23 + 9 -16n = 23 + 9 Combine like terms: 23 + 9 = 32 -16n = 32 Divide each side by '-16'. n = -2 Simplifying n = -2
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