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Simplifying -147 = 5(7n + -2) + 3 Reorder the terms: -147 = 5(-2 + 7n) + 3 -147 = (-2 * 5 + 7n * 5) + 3 -147 = (-10 + 35n) + 3 Reorder the terms: -147 = -10 + 3 + 35n Combine like terms: -10 + 3 = -7 -147 = -7 + 35n Solving -147 = -7 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. -147 + -35n = -7 + 35n + -35n Combine like terms: 35n + -35n = 0 -147 + -35n = -7 + 0 -147 + -35n = -7 Add '147' to each side of the equation. -147 + 147 + -35n = -7 + 147 Combine like terms: -147 + 147 = 0 0 + -35n = -7 + 147 -35n = -7 + 147 Combine like terms: -7 + 147 = 140 -35n = 140 Divide each side by '-35'. n = -4 Simplifying n = -4
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