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Simplifying -2 + 10(7n + -12) = 3(-5n + -12) + -1 Reorder the terms: -2 + 10(-12 + 7n) = 3(-5n + -12) + -1 -2 + (-12 * 10 + 7n * 10) = 3(-5n + -12) + -1 -2 + (-120 + 70n) = 3(-5n + -12) + -1 Combine like terms: -2 + -120 = -122 -122 + 70n = 3(-5n + -12) + -1 Reorder the terms: -122 + 70n = 3(-12 + -5n) + -1 -122 + 70n = (-12 * 3 + -5n * 3) + -1 -122 + 70n = (-36 + -15n) + -1 Reorder the terms: -122 + 70n = -36 + -1 + -15n Combine like terms: -36 + -1 = -37 -122 + 70n = -37 + -15n Solving -122 + 70n = -37 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -122 + 70n + 15n = -37 + -15n + 15n Combine like terms: 70n + 15n = 85n -122 + 85n = -37 + -15n + 15n Combine like terms: -15n + 15n = 0 -122 + 85n = -37 + 0 -122 + 85n = -37 Add '122' to each side of the equation. -122 + 122 + 85n = -37 + 122 Combine like terms: -122 + 122 = 0 0 + 85n = -37 + 122 85n = -37 + 122 Combine like terms: -37 + 122 = 85 85n = 85 Divide each side by '85'. n = 1 Simplifying n = 1
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