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Simplifying -30 + -3b = -4(b + 7) Reorder the terms: -30 + -3b = -4(7 + b) -30 + -3b = (7 * -4 + b * -4) -30 + -3b = (-28 + -4b) Solving -30 + -3b = -28 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. -30 + -3b + 4b = -28 + -4b + 4b Combine like terms: -3b + 4b = 1b -30 + 1b = -28 + -4b + 4b Combine like terms: -4b + 4b = 0 -30 + 1b = -28 + 0 -30 + 1b = -28 Add '30' to each side of the equation. -30 + 30 + 1b = -28 + 30 Combine like terms: -30 + 30 = 0 0 + 1b = -28 + 30 1b = -28 + 30 Combine like terms: -28 + 30 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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