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Simplifying 5(7 + w) = 12(3 + w) * solve (7 * 5 + w * 5) = 12(3 + w) * solve (35 + 5w) = 12(3 + w) * solve Reorder the terms for easier multiplication: 35 + 5w = 12elosv(3 + w) 35 + 5w = (3 * 12elosv + w * 12elosv) 35 + 5w = (36elosv + 12elosvw) Solving 35 + 5w = 36elosv + 12elosvw Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-12elosvw' to each side of the equation. 35 + -12elosvw + 5w = 36elosv + 12elosvw + -12elosvw Combine like terms: 12elosvw + -12elosvw = 0 35 + -12elosvw + 5w = 36elosv + 0 35 + -12elosvw + 5w = 36elosv Add '-35' to each side of the equation. 35 + -12elosvw + -35 + 5w = -35 + 36elosv Reorder the terms: 35 + -35 + -12elosvw + 5w = -35 + 36elosv Combine like terms: 35 + -35 = 0 0 + -12elosvw + 5w = -35 + 36elosv -12elosvw + 5w = -35 + 36elosv Reorder the terms: 35 + -36elosv + -12elosvw + 5w = -35 + 36elosv + 35 + -36elosv Reorder the terms: 35 + -36elosv + -12elosvw + 5w = -35 + 35 + 36elosv + -36elosv Combine like terms: -35 + 35 = 0 35 + -36elosv + -12elosvw + 5w = 0 + 36elosv + -36elosv 35 + -36elosv + -12elosvw + 5w = 36elosv + -36elosv Combine like terms: 36elosv + -36elosv = 0 35 + -36elosv + -12elosvw + 5w = 0 The solution to this equation could not be determined.
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