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Simplifying 2(6b + -2) + -0.5(4b + -2) = 7 Reorder the terms: 2(-2 + 6b) + -0.5(4b + -2) = 7 (-2 * 2 + 6b * 2) + -0.5(4b + -2) = 7 (-4 + 12b) + -0.5(4b + -2) = 7 Reorder the terms: -4 + 12b + -0.5(-2 + 4b) = 7 -4 + 12b + (-2 * -0.5 + 4b * -0.5) = 7 -4 + 12b + (1 + -2b) = 7 Reorder the terms: -4 + 1 + 12b + -2b = 7 Combine like terms: -4 + 1 = -3 -3 + 12b + -2b = 7 Combine like terms: 12b + -2b = 10b -3 + 10b = 7 Solving -3 + 10b = 7 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 10b = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 10b = 7 + 3 10b = 7 + 3 Combine like terms: 7 + 3 = 10 10b = 10 Divide each side by '10'. b = 1 Simplifying b = 1
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