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Simplifying 5(7 + w) = 4(3 + w) * solve (7 * 5 + w * 5) = 4(3 + w) * solve (35 + 5w) = 4(3 + w) * solve Reorder the terms for easier multiplication: 35 + 5w = 4elosv(3 + w) 35 + 5w = (3 * 4elosv + w * 4elosv) 35 + 5w = (12elosv + 4elosvw) Solving 35 + 5w = 12elosv + 4elosvw Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4elosvw' to each side of the equation. 35 + -4elosvw + 5w = 12elosv + 4elosvw + -4elosvw Combine like terms: 4elosvw + -4elosvw = 0 35 + -4elosvw + 5w = 12elosv + 0 35 + -4elosvw + 5w = 12elosv Add '-35' to each side of the equation. 35 + -4elosvw + -35 + 5w = -35 + 12elosv Reorder the terms: 35 + -35 + -4elosvw + 5w = -35 + 12elosv Combine like terms: 35 + -35 = 0 0 + -4elosvw + 5w = -35 + 12elosv -4elosvw + 5w = -35 + 12elosv Reorder the terms: 35 + -12elosv + -4elosvw + 5w = -35 + 12elosv + 35 + -12elosv Reorder the terms: 35 + -12elosv + -4elosvw + 5w = -35 + 35 + 12elosv + -12elosv Combine like terms: -35 + 35 = 0 35 + -12elosv + -4elosvw + 5w = 0 + 12elosv + -12elosv 35 + -12elosv + -4elosvw + 5w = 12elosv + -12elosv Combine like terms: 12elosv + -12elosv = 0 35 + -12elosv + -4elosvw + 5w = 0 The solution to this equation could not be determined.
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