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Simplifying -1b + -4(1 + 7b) = 228 -1b + (1 * -4 + 7b * -4) = 228 -1b + (-4 + -28b) = 228 Reorder the terms: -4 + -1b + -28b = 228 Combine like terms: -1b + -28b = -29b -4 + -29b = 228 Solving -4 + -29b = 228 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -29b = 228 + 4 Combine like terms: -4 + 4 = 0 0 + -29b = 228 + 4 -29b = 228 + 4 Combine like terms: 228 + 4 = 232 -29b = 232 Divide each side by '-29'. b = -8 Simplifying b = -8
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