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Simplifying -6(8n + 10) + 12 = 7(-2 + 3) + -1 Reorder the terms: -6(10 + 8n) + 12 = 7(-2 + 3) + -1 (10 * -6 + 8n * -6) + 12 = 7(-2 + 3) + -1 (-60 + -48n) + 12 = 7(-2 + 3) + -1 Reorder the terms: -60 + 12 + -48n = 7(-2 + 3) + -1 Combine like terms: -60 + 12 = -48 -48 + -48n = 7(-2 + 3) + -1 Combine like terms: -2 + 3 = 1 -48 + -48n = 7(1) + -1 Multiply 7 * 1 -48 + -48n = 7 + -1 Combine like terms: 7 + -1 = 6 -48 + -48n = 6 Solving -48 + -48n = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + -48n = 6 + 48 Combine like terms: -48 + 48 = 0 0 + -48n = 6 + 48 -48n = 6 + 48 Combine like terms: 6 + 48 = 54 -48n = 54 Divide each side by '-48'. n = -1.125 Simplifying n = -1.125
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