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Simplifying 0.5(2n + 6) = 4(n + -3) Reorder the terms: 0.5(6 + 2n) = 4(n + -3) (6 * 0.5 + 2n * 0.5) = 4(n + -3) (3 + 1n) = 4(n + -3) Reorder the terms: 3 + 1n = 4(-3 + n) 3 + 1n = (-3 * 4 + n * 4) 3 + 1n = (-12 + 4n) Solving 3 + 1n = -12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + 1n + -4n = -12 + 4n + -4n Combine like terms: 1n + -4n = -3n 3 + -3n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -3n = -12 + 0 3 + -3n = -12 Add '-3' to each side of the equation. 3 + -3 + -3n = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3n = -12 + -3 -3n = -12 + -3 Combine like terms: -12 + -3 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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