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Simplifying -8b + 4(6b + -4) = 3 + 3(6b + -3) Reorder the terms: -8b + 4(-4 + 6b) = 3 + 3(6b + -3) -8b + (-4 * 4 + 6b * 4) = 3 + 3(6b + -3) -8b + (-16 + 24b) = 3 + 3(6b + -3) Reorder the terms: -16 + -8b + 24b = 3 + 3(6b + -3) Combine like terms: -8b + 24b = 16b -16 + 16b = 3 + 3(6b + -3) Reorder the terms: -16 + 16b = 3 + 3(-3 + 6b) -16 + 16b = 3 + (-3 * 3 + 6b * 3) -16 + 16b = 3 + (-9 + 18b) Combine like terms: 3 + -9 = -6 -16 + 16b = -6 + 18b Solving -16 + 16b = -6 + 18b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. -16 + 16b + -18b = -6 + 18b + -18b Combine like terms: 16b + -18b = -2b -16 + -2b = -6 + 18b + -18b Combine like terms: 18b + -18b = 0 -16 + -2b = -6 + 0 -16 + -2b = -6 Add '16' to each side of the equation. -16 + 16 + -2b = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -2b = -6 + 16 -2b = -6 + 16 Combine like terms: -6 + 16 = 10 -2b = 10 Divide each side by '-2'. b = -5 Simplifying b = -5
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