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Simplifying 1 + 5(n + -6) = 4(2n + -2) Reorder the terms: 1 + 5(-6 + n) = 4(2n + -2) 1 + (-6 * 5 + n * 5) = 4(2n + -2) 1 + (-30 + 5n) = 4(2n + -2) Combine like terms: 1 + -30 = -29 -29 + 5n = 4(2n + -2) Reorder the terms: -29 + 5n = 4(-2 + 2n) -29 + 5n = (-2 * 4 + 2n * 4) -29 + 5n = (-8 + 8n) Solving -29 + 5n = -8 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -29 + 5n + -8n = -8 + 8n + -8n Combine like terms: 5n + -8n = -3n -29 + -3n = -8 + 8n + -8n Combine like terms: 8n + -8n = 0 -29 + -3n = -8 + 0 -29 + -3n = -8 Add '29' to each side of the equation. -29 + 29 + -3n = -8 + 29 Combine like terms: -29 + 29 = 0 0 + -3n = -8 + 29 -3n = -8 + 29 Combine like terms: -8 + 29 = 21 -3n = 21 Divide each side by '-3'. n = -7 Simplifying n = -7
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