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Simplifying 8(6n + -4) = 4(6n + -10) * 40 Reorder the terms: 8(-4 + 6n) = 4(6n + -10) * 40 (-4 * 8 + 6n * 8) = 4(6n + -10) * 40 (-32 + 48n) = 4(6n + -10) * 40 Reorder the terms: -32 + 48n = 4(-10 + 6n) * 40 Reorder the terms for easier multiplication: -32 + 48n = 4 * 40(-10 + 6n) Multiply 4 * 40 -32 + 48n = 160(-10 + 6n) -32 + 48n = (-10 * 160 + 6n * 160) -32 + 48n = (-1600 + 960n) Solving -32 + 48n = -1600 + 960n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-960n' to each side of the equation. -32 + 48n + -960n = -1600 + 960n + -960n Combine like terms: 48n + -960n = -912n -32 + -912n = -1600 + 960n + -960n Combine like terms: 960n + -960n = 0 -32 + -912n = -1600 + 0 -32 + -912n = -1600 Add '32' to each side of the equation. -32 + 32 + -912n = -1600 + 32 Combine like terms: -32 + 32 = 0 0 + -912n = -1600 + 32 -912n = -1600 + 32 Combine like terms: -1600 + 32 = -1568 -912n = -1568 Divide each side by '-912'. n = 1.719298246 Simplifying n = 1.719298246
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