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Simplifying n + -10 = -7(-2n + -6) Reorder the terms: -10 + n = -7(-2n + -6) Reorder the terms: -10 + n = -7(-6 + -2n) -10 + n = (-6 * -7 + -2n * -7) -10 + n = (42 + 14n) Solving -10 + n = 42 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -10 + n + -14n = 42 + 14n + -14n Combine like terms: n + -14n = -13n -10 + -13n = 42 + 14n + -14n Combine like terms: 14n + -14n = 0 -10 + -13n = 42 + 0 -10 + -13n = 42 Add '10' to each side of the equation. -10 + 10 + -13n = 42 + 10 Combine like terms: -10 + 10 = 0 0 + -13n = 42 + 10 -13n = 42 + 10 Combine like terms: 42 + 10 = 52 -13n = 52 Divide each side by '-13'. n = -4 Simplifying n = -4
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