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Simplifying 4(2.5 + -1.5b) + 6(-1) = 10 (2.5 * 4 + -1.5b * 4) + 6(-1) = 10 (10 + -6b) + 6(-1) = 10 Multiply 6 * -1 10 + -6b + -6 = 10 Reorder the terms: 10 + -6 + -6b = 10 Combine like terms: 10 + -6 = 4 4 + -6b = 10 Solving 4 + -6b = 10 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -6b = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -6b = 10 + -4 -6b = 10 + -4 Combine like terms: 10 + -4 = 6 -6b = 6 Divide each side by '-6'. b = -1 Simplifying b = -1
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