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Simplifying 6(o + 3) + 30 = 3(o + -2) Reorder the terms: 6(3 + o) + 30 = 3(o + -2) (3 * 6 + o * 6) + 30 = 3(o + -2) (18 + 6o) + 30 = 3(o + -2) Reorder the terms: 18 + 30 + 6o = 3(o + -2) Combine like terms: 18 + 30 = 48 48 + 6o = 3(o + -2) Reorder the terms: 48 + 6o = 3(-2 + o) 48 + 6o = (-2 * 3 + o * 3) 48 + 6o = (-6 + 3o) Solving 48 + 6o = -6 + 3o Solving for variable 'o'. Move all terms containing o to the left, all other terms to the right. Add '-3o' to each side of the equation. 48 + 6o + -3o = -6 + 3o + -3o Combine like terms: 6o + -3o = 3o 48 + 3o = -6 + 3o + -3o Combine like terms: 3o + -3o = 0 48 + 3o = -6 + 0 48 + 3o = -6 Add '-48' to each side of the equation. 48 + -48 + 3o = -6 + -48 Combine like terms: 48 + -48 = 0 0 + 3o = -6 + -48 3o = -6 + -48 Combine like terms: -6 + -48 = -54 3o = -54 Divide each side by '3'. o = -18 Simplifying o = -18
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