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Simplifying 6(w + 3) * 5 + -8a = 2 Reorder the terms: 6(3 + w) * 5 + -8a = 2 Reorder the terms for easier multiplication: 6 * 5(3 + w) + -8a = 2 Multiply 6 * 5 30(3 + w) + -8a = 2 (3 * 30 + w * 30) + -8a = 2 (90 + 30w) + -8a = 2 Reorder the terms: 90 + -8a + 30w = 2 Solving 90 + -8a + 30w = 2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -8a + -90 + 30w = 2 + -90 Reorder the terms: 90 + -90 + -8a + 30w = 2 + -90 Combine like terms: 90 + -90 = 0 0 + -8a + 30w = 2 + -90 -8a + 30w = 2 + -90 Combine like terms: 2 + -90 = -88 -8a + 30w = -88 Add '-30w' to each side of the equation. -8a + 30w + -30w = -88 + -30w Combine like terms: 30w + -30w = 0 -8a + 0 = -88 + -30w -8a = -88 + -30w Divide each side by '-8'. a = 11 + 3.75w Simplifying a = 11 + 3.75w
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