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Simplifying -19 + -4b = -4(7b + -8) + 7b Reorder the terms: -19 + -4b = -4(-8 + 7b) + 7b -19 + -4b = (-8 * -4 + 7b * -4) + 7b -19 + -4b = (32 + -28b) + 7b Combine like terms: -28b + 7b = -21b -19 + -4b = 32 + -21b Solving -19 + -4b = 32 + -21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '21b' to each side of the equation. -19 + -4b + 21b = 32 + -21b + 21b Combine like terms: -4b + 21b = 17b -19 + 17b = 32 + -21b + 21b Combine like terms: -21b + 21b = 0 -19 + 17b = 32 + 0 -19 + 17b = 32 Add '19' to each side of the equation. -19 + 19 + 17b = 32 + 19 Combine like terms: -19 + 19 = 0 0 + 17b = 32 + 19 17b = 32 + 19 Combine like terms: 32 + 19 = 51 17b = 51 Divide each side by '17'. b = 3 Simplifying b = 3
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