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Simplifying 12 + -4b = 6(-1b + -5) + 5(4b + 3) Reorder the terms: 12 + -4b = 6(-5 + -1b) + 5(4b + 3) 12 + -4b = (-5 * 6 + -1b * 6) + 5(4b + 3) 12 + -4b = (-30 + -6b) + 5(4b + 3) Reorder the terms: 12 + -4b = -30 + -6b + 5(3 + 4b) 12 + -4b = -30 + -6b + (3 * 5 + 4b * 5) 12 + -4b = -30 + -6b + (15 + 20b) Reorder the terms: 12 + -4b = -30 + 15 + -6b + 20b Combine like terms: -30 + 15 = -15 12 + -4b = -15 + -6b + 20b Combine like terms: -6b + 20b = 14b 12 + -4b = -15 + 14b Solving 12 + -4b = -15 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. 12 + -4b + -14b = -15 + 14b + -14b Combine like terms: -4b + -14b = -18b 12 + -18b = -15 + 14b + -14b Combine like terms: 14b + -14b = 0 12 + -18b = -15 + 0 12 + -18b = -15 Add '-12' to each side of the equation. 12 + -12 + -18b = -15 + -12 Combine like terms: 12 + -12 = 0 0 + -18b = -15 + -12 -18b = -15 + -12 Combine like terms: -15 + -12 = -27 -18b = -27 Divide each side by '-18'. b = 1.5 Simplifying b = 1.5
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