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Simplifying 2(n + -4) + -3(n + -2) = 4(a + 1) + 4 Reorder the terms: 2(-4 + n) + -3(n + -2) = 4(a + 1) + 4 (-4 * 2 + n * 2) + -3(n + -2) = 4(a + 1) + 4 (-8 + 2n) + -3(n + -2) = 4(a + 1) + 4 Reorder the terms: -8 + 2n + -3(-2 + n) = 4(a + 1) + 4 -8 + 2n + (-2 * -3 + n * -3) = 4(a + 1) + 4 -8 + 2n + (6 + -3n) = 4(a + 1) + 4 Reorder the terms: -8 + 6 + 2n + -3n = 4(a + 1) + 4 Combine like terms: -8 + 6 = -2 -2 + 2n + -3n = 4(a + 1) + 4 Combine like terms: 2n + -3n = -1n -2 + -1n = 4(a + 1) + 4 Reorder the terms: -2 + -1n = 4(1 + a) + 4 -2 + -1n = (1 * 4 + a * 4) + 4 -2 + -1n = (4 + 4a) + 4 Reorder the terms: -2 + -1n = 4 + 4 + 4a Combine like terms: 4 + 4 = 8 -2 + -1n = 8 + 4a Solving -2 + -1n = 8 + 4a Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1n = 8 + 2 + 4a Combine like terms: -2 + 2 = 0 0 + -1n = 8 + 2 + 4a -1n = 8 + 2 + 4a Combine like terms: 8 + 2 = 10 -1n = 10 + 4a Divide each side by '-1'. n = -10 + -4a Simplifying n = -10 + -4a
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