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Simplifying -10 + -3n = 5(3n + 8) + 4 Reorder the terms: -10 + -3n = 5(8 + 3n) + 4 -10 + -3n = (8 * 5 + 3n * 5) + 4 -10 + -3n = (40 + 15n) + 4 Reorder the terms: -10 + -3n = 40 + 4 + 15n Combine like terms: 40 + 4 = 44 -10 + -3n = 44 + 15n Solving -10 + -3n = 44 + 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. -10 + -3n + -15n = 44 + 15n + -15n Combine like terms: -3n + -15n = -18n -10 + -18n = 44 + 15n + -15n Combine like terms: 15n + -15n = 0 -10 + -18n = 44 + 0 -10 + -18n = 44 Add '10' to each side of the equation. -10 + 10 + -18n = 44 + 10 Combine like terms: -10 + 10 = 0 0 + -18n = 44 + 10 -18n = 44 + 10 Combine like terms: 44 + 10 = 54 -18n = 54 Divide each side by '-18'. n = -3 Simplifying n = -3
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