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Simplifying -4 + -3(5n + 4) = 40 + -7n Reorder the terms: -4 + -3(4 + 5n) = 40 + -7n -4 + (4 * -3 + 5n * -3) = 40 + -7n -4 + (-12 + -15n) = 40 + -7n Combine like terms: -4 + -12 = -16 -16 + -15n = 40 + -7n Solving -16 + -15n = 40 + -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. -16 + -15n + 7n = 40 + -7n + 7n Combine like terms: -15n + 7n = -8n -16 + -8n = 40 + -7n + 7n Combine like terms: -7n + 7n = 0 -16 + -8n = 40 + 0 -16 + -8n = 40 Add '16' to each side of the equation. -16 + 16 + -8n = 40 + 16 Combine like terms: -16 + 16 = 0 0 + -8n = 40 + 16 -8n = 40 + 16 Combine like terms: 40 + 16 = 56 -8n = 56 Divide each side by '-8'. n = -7 Simplifying n = -7
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