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Simplifying 4 + 6b = 8(4b + -6) Reorder the terms: 4 + 6b = 8(-6 + 4b) 4 + 6b = (-6 * 8 + 4b * 8) 4 + 6b = (-48 + 32b) Solving 4 + 6b = -48 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 4 + 6b + -32b = -48 + 32b + -32b Combine like terms: 6b + -32b = -26b 4 + -26b = -48 + 32b + -32b Combine like terms: 32b + -32b = 0 4 + -26b = -48 + 0 4 + -26b = -48 Add '-4' to each side of the equation. 4 + -4 + -26b = -48 + -4 Combine like terms: 4 + -4 = 0 0 + -26b = -48 + -4 -26b = -48 + -4 Combine like terms: -48 + -4 = -52 -26b = -52 Divide each side by '-26'. b = 2 Simplifying b = 2
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