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Simplifying -10 + -4n = -7(n + 1) Reorder the terms: -10 + -4n = -7(1 + n) -10 + -4n = (1 * -7 + n * -7) -10 + -4n = (-7 + -7n) Solving -10 + -4n = -7 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -10 + -4n + 7n = -7 + -7n + 7n Combine like terms: -4n + 7n = 3n -10 + 3n = -7 + -7n + 7n Combine like terms: -7n + 7n = 0 -10 + 3n = -7 + 0 -10 + 3n = -7 Add '10' to each side of the equation. -10 + 10 + 3n = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 3n = -7 + 10 3n = -7 + 10 Combine like terms: -7 + 10 = 3 3n = 3 Divide each side by '3'. n = 1 Simplifying n = 1
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