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Simplifying 6(n + -2) + -3 = 3 + -2(n + 5) Reorder the terms: 6(-2 + n) + -3 = 3 + -2(n + 5) (-2 * 6 + n * 6) + -3 = 3 + -2(n + 5) (-12 + 6n) + -3 = 3 + -2(n + 5) Reorder the terms: -12 + -3 + 6n = 3 + -2(n + 5) Combine like terms: -12 + -3 = -15 -15 + 6n = 3 + -2(n + 5) Reorder the terms: -15 + 6n = 3 + -2(5 + n) -15 + 6n = 3 + (5 * -2 + n * -2) -15 + 6n = 3 + (-10 + -2n) Combine like terms: 3 + -10 = -7 -15 + 6n = -7 + -2n Solving -15 + 6n = -7 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -15 + 6n + 2n = -7 + -2n + 2n Combine like terms: 6n + 2n = 8n -15 + 8n = -7 + -2n + 2n Combine like terms: -2n + 2n = 0 -15 + 8n = -7 + 0 -15 + 8n = -7 Add '15' to each side of the equation. -15 + 15 + 8n = -7 + 15 Combine like terms: -15 + 15 = 0 0 + 8n = -7 + 15 8n = -7 + 15 Combine like terms: -7 + 15 = 8 8n = 8 Divide each side by '8'. n = 1 Simplifying n = 1
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