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Simplifying 7(5b + -6) + 4(7b + 1) = -38 Reorder the terms: 7(-6 + 5b) + 4(7b + 1) = -38 (-6 * 7 + 5b * 7) + 4(7b + 1) = -38 (-42 + 35b) + 4(7b + 1) = -38 Reorder the terms: -42 + 35b + 4(1 + 7b) = -38 -42 + 35b + (1 * 4 + 7b * 4) = -38 -42 + 35b + (4 + 28b) = -38 Reorder the terms: -42 + 4 + 35b + 28b = -38 Combine like terms: -42 + 4 = -38 -38 + 35b + 28b = -38 Combine like terms: 35b + 28b = 63b -38 + 63b = -38 Add '38' to each side of the equation. -38 + 38 + 63b = -38 + 38 Combine like terms: -38 + 38 = 0 0 + 63b = -38 + 38 63b = -38 + 38 Combine like terms: -38 + 38 = 0 63b = 0 Solving 63b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '63'. b = 0 Simplifying b = 0
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