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Simplifying 5(b + 7) + -2 = 4(b + 3) + 5 Reorder the terms: 5(7 + b) + -2 = 4(b + 3) + 5 (7 * 5 + b * 5) + -2 = 4(b + 3) + 5 (35 + 5b) + -2 = 4(b + 3) + 5 Reorder the terms: 35 + -2 + 5b = 4(b + 3) + 5 Combine like terms: 35 + -2 = 33 33 + 5b = 4(b + 3) + 5 Reorder the terms: 33 + 5b = 4(3 + b) + 5 33 + 5b = (3 * 4 + b * 4) + 5 33 + 5b = (12 + 4b) + 5 Reorder the terms: 33 + 5b = 12 + 5 + 4b Combine like terms: 12 + 5 = 17 33 + 5b = 17 + 4b Solving 33 + 5b = 17 + 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. 33 + 5b + -4b = 17 + 4b + -4b Combine like terms: 5b + -4b = 1b 33 + 1b = 17 + 4b + -4b Combine like terms: 4b + -4b = 0 33 + 1b = 17 + 0 33 + 1b = 17 Add '-33' to each side of the equation. 33 + -33 + 1b = 17 + -33 Combine like terms: 33 + -33 = 0 0 + 1b = 17 + -33 1b = 17 + -33 Combine like terms: 17 + -33 = -16 1b = -16 Divide each side by '1'. b = -16 Simplifying b = -16
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