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Simplifying 4(7b + -8) + 8 = -3 + 7(7b + 3) Reorder the terms: 4(-8 + 7b) + 8 = -3 + 7(7b + 3) (-8 * 4 + 7b * 4) + 8 = -3 + 7(7b + 3) (-32 + 28b) + 8 = -3 + 7(7b + 3) Reorder the terms: -32 + 8 + 28b = -3 + 7(7b + 3) Combine like terms: -32 + 8 = -24 -24 + 28b = -3 + 7(7b + 3) Reorder the terms: -24 + 28b = -3 + 7(3 + 7b) -24 + 28b = -3 + (3 * 7 + 7b * 7) -24 + 28b = -3 + (21 + 49b) Combine like terms: -3 + 21 = 18 -24 + 28b = 18 + 49b Solving -24 + 28b = 18 + 49b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-49b' to each side of the equation. -24 + 28b + -49b = 18 + 49b + -49b Combine like terms: 28b + -49b = -21b -24 + -21b = 18 + 49b + -49b Combine like terms: 49b + -49b = 0 -24 + -21b = 18 + 0 -24 + -21b = 18 Add '24' to each side of the equation. -24 + 24 + -21b = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -21b = 18 + 24 -21b = 18 + 24 Combine like terms: 18 + 24 = 42 -21b = 42 Divide each side by '-21'. b = -2 Simplifying b = -2
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