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Simplifying 7(3b + -4) = 11(2b + -5) Reorder the terms: 7(-4 + 3b) = 11(2b + -5) (-4 * 7 + 3b * 7) = 11(2b + -5) (-28 + 21b) = 11(2b + -5) Reorder the terms: -28 + 21b = 11(-5 + 2b) -28 + 21b = (-5 * 11 + 2b * 11) -28 + 21b = (-55 + 22b) Solving -28 + 21b = -55 + 22b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22b' to each side of the equation. -28 + 21b + -22b = -55 + 22b + -22b Combine like terms: 21b + -22b = -1b -28 + -1b = -55 + 22b + -22b Combine like terms: 22b + -22b = 0 -28 + -1b = -55 + 0 -28 + -1b = -55 Add '28' to each side of the equation. -28 + 28 + -1b = -55 + 28 Combine like terms: -28 + 28 = 0 0 + -1b = -55 + 28 -1b = -55 + 28 Combine like terms: -55 + 28 = -27 -1b = -27 Divide each side by '-1'. b = 27 Simplifying b = 27
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