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Simplifying -7 + -5(7n + 6) = -3 + -1n Reorder the terms: -7 + -5(6 + 7n) = -3 + -1n -7 + (6 * -5 + 7n * -5) = -3 + -1n -7 + (-30 + -35n) = -3 + -1n Combine like terms: -7 + -30 = -37 -37 + -35n = -3 + -1n Solving -37 + -35n = -3 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -37 + -35n + n = -3 + -1n + n Combine like terms: -35n + n = -34n -37 + -34n = -3 + -1n + n Combine like terms: -1n + n = 0 -37 + -34n = -3 + 0 -37 + -34n = -3 Add '37' to each side of the equation. -37 + 37 + -34n = -3 + 37 Combine like terms: -37 + 37 = 0 0 + -34n = -3 + 37 -34n = -3 + 37 Combine like terms: -3 + 37 = 34 -34n = 34 Divide each side by '-34'. n = -1 Simplifying n = -1
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