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Simplifying (w(2) + -2 + 4) + (-6w(2) + 5w + 3) = 0 Reorder the terms for easier multiplication: (2w + -2 + 4) + (-6w(2) + 5w + 3) = 0 Reorder the terms: (-2 + 4 + 2w) + (-6w(2) + 5w + 3) = 0 Combine like terms: -2 + 4 = 2 (2 + 2w) + (-6w(2) + 5w + 3) = 0 Remove parenthesis around (2 + 2w) 2 + 2w + (-6w(2) + 5w + 3) = 0 Reorder the terms for easier multiplication: 2 + 2w + (-6 * 2w + 5w + 3) = 0 Multiply -6 * 2 2 + 2w + (-12w + 5w + 3) = 0 Reorder the terms: 2 + 2w + (3 + -12w + 5w) = 0 Combine like terms: -12w + 5w = -7w 2 + 2w + (3 + -7w) = 0 Remove parenthesis around (3 + -7w) 2 + 2w + 3 + -7w = 0 Reorder the terms: 2 + 3 + 2w + -7w = 0 Combine like terms: 2 + 3 = 5 5 + 2w + -7w = 0 Combine like terms: 2w + -7w = -5w 5 + -5w = 0 Solving 5 + -5w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -5w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5w = 0 + -5 -5w = 0 + -5 Combine like terms: 0 + -5 = -5 -5w = -5 Divide each side by '-5'. w = 1 Simplifying w = 1
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