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Simplifying 4(3b + -10) = 4(5 + -4b) Reorder the terms: 4(-10 + 3b) = 4(5 + -4b) (-10 * 4 + 3b * 4) = 4(5 + -4b) (-40 + 12b) = 4(5 + -4b) -40 + 12b = (5 * 4 + -4b * 4) -40 + 12b = (20 + -16b) Solving -40 + 12b = 20 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. -40 + 12b + 16b = 20 + -16b + 16b Combine like terms: 12b + 16b = 28b -40 + 28b = 20 + -16b + 16b Combine like terms: -16b + 16b = 0 -40 + 28b = 20 + 0 -40 + 28b = 20 Add '40' to each side of the equation. -40 + 40 + 28b = 20 + 40 Combine like terms: -40 + 40 = 0 0 + 28b = 20 + 40 28b = 20 + 40 Combine like terms: 20 + 40 = 60 28b = 60 Divide each side by '28'. b = 2.142857143 Simplifying b = 2.142857143
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