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Simplifying 7(b + 3) + 7(-4b + 6) = 63 Reorder the terms: 7(3 + b) + 7(-4b + 6) = 63 (3 * 7 + b * 7) + 7(-4b + 6) = 63 (21 + 7b) + 7(-4b + 6) = 63 Reorder the terms: 21 + 7b + 7(6 + -4b) = 63 21 + 7b + (6 * 7 + -4b * 7) = 63 21 + 7b + (42 + -28b) = 63 Reorder the terms: 21 + 42 + 7b + -28b = 63 Combine like terms: 21 + 42 = 63 63 + 7b + -28b = 63 Combine like terms: 7b + -28b = -21b 63 + -21b = 63 Add '-63' to each side of the equation. 63 + -63 + -21b = 63 + -63 Combine like terms: 63 + -63 = 0 0 + -21b = 63 + -63 -21b = 63 + -63 Combine like terms: 63 + -63 = 0 -21b = 0 Solving -21b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Divide each side by '-21'. b = 0 Simplifying b = 0
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