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Simplifying 4(3b + -10) + 2(-3 + 2b) = 0 Reorder the terms: 4(-10 + 3b) + 2(-3 + 2b) = 0 (-10 * 4 + 3b * 4) + 2(-3 + 2b) = 0 (-40 + 12b) + 2(-3 + 2b) = 0 -40 + 12b + (-3 * 2 + 2b * 2) = 0 -40 + 12b + (-6 + 4b) = 0 Reorder the terms: -40 + -6 + 12b + 4b = 0 Combine like terms: -40 + -6 = -46 -46 + 12b + 4b = 0 Combine like terms: 12b + 4b = 16b -46 + 16b = 0 Solving -46 + 16b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + 16b = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 16b = 0 + 46 16b = 0 + 46 Combine like terms: 0 + 46 = 46 16b = 46 Divide each side by '16'. b = 2.875 Simplifying b = 2.875
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