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Simplifying 5(2b + -6) + -4(3b + 2) = 0 Reorder the terms: 5(-6 + 2b) + -4(3b + 2) = 0 (-6 * 5 + 2b * 5) + -4(3b + 2) = 0 (-30 + 10b) + -4(3b + 2) = 0 Reorder the terms: -30 + 10b + -4(2 + 3b) = 0 -30 + 10b + (2 * -4 + 3b * -4) = 0 -30 + 10b + (-8 + -12b) = 0 Reorder the terms: -30 + -8 + 10b + -12b = 0 Combine like terms: -30 + -8 = -38 -38 + 10b + -12b = 0 Combine like terms: 10b + -12b = -2b -38 + -2b = 0 Solving -38 + -2b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + -2b = 0 + 38 Combine like terms: -38 + 38 = 0 0 + -2b = 0 + 38 -2b = 0 + 38 Combine like terms: 0 + 38 = 38 -2b = 38 Divide each side by '-2'. b = -19 Simplifying b = -19
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