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Simplifying 4(5b + 3) + -7(4b + 3) = 4b + 7 Reorder the terms: 4(3 + 5b) + -7(4b + 3) = 4b + 7 (3 * 4 + 5b * 4) + -7(4b + 3) = 4b + 7 (12 + 20b) + -7(4b + 3) = 4b + 7 Reorder the terms: 12 + 20b + -7(3 + 4b) = 4b + 7 12 + 20b + (3 * -7 + 4b * -7) = 4b + 7 12 + 20b + (-21 + -28b) = 4b + 7 Reorder the terms: 12 + -21 + 20b + -28b = 4b + 7 Combine like terms: 12 + -21 = -9 -9 + 20b + -28b = 4b + 7 Combine like terms: 20b + -28b = -8b -9 + -8b = 4b + 7 Reorder the terms: -9 + -8b = 7 + 4b Solving -9 + -8b = 7 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -9 + -8b + -4b = 7 + 4b + -4b Combine like terms: -8b + -4b = -12b -9 + -12b = 7 + 4b + -4b Combine like terms: 4b + -4b = 0 -9 + -12b = 7 + 0 -9 + -12b = 7 Add '9' to each side of the equation. -9 + 9 + -12b = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -12b = 7 + 9 -12b = 7 + 9 Combine like terms: 7 + 9 = 16 -12b = 16 Divide each side by '-12'. b = -1.333333333 Simplifying b = -1.333333333
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