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Simplifying -84 = 7(-4b + -7) + -7 Reorder the terms: -84 = 7(-7 + -4b) + -7 -84 = (-7 * 7 + -4b * 7) + -7 -84 = (-49 + -28b) + -7 Reorder the terms: -84 = -49 + -7 + -28b Combine like terms: -49 + -7 = -56 -84 = -56 + -28b Solving -84 = -56 + -28b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '28b' to each side of the equation. -84 + 28b = -56 + -28b + 28b Combine like terms: -28b + 28b = 0 -84 + 28b = -56 + 0 -84 + 28b = -56 Add '84' to each side of the equation. -84 + 84 + 28b = -56 + 84 Combine like terms: -84 + 84 = 0 0 + 28b = -56 + 84 28b = -56 + 84 Combine like terms: -56 + 84 = 28 28b = 28 Divide each side by '28'. b = 1 Simplifying b = 1
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