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Simplifying 1 + -3(-5n + 4) = 4(1 + 4n) Reorder the terms: 1 + -3(4 + -5n) = 4(1 + 4n) 1 + (4 * -3 + -5n * -3) = 4(1 + 4n) 1 + (-12 + 15n) = 4(1 + 4n) Combine like terms: 1 + -12 = -11 -11 + 15n = 4(1 + 4n) -11 + 15n = (1 * 4 + 4n * 4) -11 + 15n = (4 + 16n) Solving -11 + 15n = 4 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -11 + 15n + -16n = 4 + 16n + -16n Combine like terms: 15n + -16n = -1n -11 + -1n = 4 + 16n + -16n Combine like terms: 16n + -16n = 0 -11 + -1n = 4 + 0 -11 + -1n = 4 Add '11' to each side of the equation. -11 + 11 + -1n = 4 + 11 Combine like terms: -11 + 11 = 0 0 + -1n = 4 + 11 -1n = 4 + 11 Combine like terms: 4 + 11 = 15 -1n = 15 Divide each side by '-1'. n = -15 Simplifying n = -15
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