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Simplifying 4(b + 3) + b = 4(b + -4) + -2 Reorder the terms: 4(3 + b) + b = 4(b + -4) + -2 (3 * 4 + b * 4) + b = 4(b + -4) + -2 (12 + 4b) + b = 4(b + -4) + -2 Combine like terms: 4b + b = 5b 12 + 5b = 4(b + -4) + -2 Reorder the terms: 12 + 5b = 4(-4 + b) + -2 12 + 5b = (-4 * 4 + b * 4) + -2 12 + 5b = (-16 + 4b) + -2 Reorder the terms: 12 + 5b = -16 + -2 + 4b Combine like terms: -16 + -2 = -18 12 + 5b = -18 + 4b Solving 12 + 5b = -18 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. 12 + 5b + -4b = -18 + 4b + -4b Combine like terms: 5b + -4b = 1b 12 + 1b = -18 + 4b + -4b Combine like terms: 4b + -4b = 0 12 + 1b = -18 + 0 12 + 1b = -18 Add '-12' to each side of the equation. 12 + -12 + 1b = -18 + -12 Combine like terms: 12 + -12 = 0 0 + 1b = -18 + -12 1b = -18 + -12 Combine like terms: -18 + -12 = -30 1b = -30 Divide each side by '1'. b = -30 Simplifying b = -30
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