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Simplifying 7(2n + -3) = 5(3n + -4) Reorder the terms: 7(-3 + 2n) = 5(3n + -4) (-3 * 7 + 2n * 7) = 5(3n + -4) (-21 + 14n) = 5(3n + -4) Reorder the terms: -21 + 14n = 5(-4 + 3n) -21 + 14n = (-4 * 5 + 3n * 5) -21 + 14n = (-20 + 15n) Solving -21 + 14n = -20 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. -21 + 14n + -15n = -20 + 15n + -15n Combine like terms: 14n + -15n = -1n -21 + -1n = -20 + 15n + -15n Combine like terms: 15n + -15n = 0 -21 + -1n = -20 + 0 -21 + -1n = -20 Add '21' to each side of the equation. -21 + 21 + -1n = -20 + 21 Combine like terms: -21 + 21 = 0 0 + -1n = -20 + 21 -1n = -20 + 21 Combine like terms: -20 + 21 = 1 -1n = 1 Divide each side by '-1'. n = -1 Simplifying n = -1
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