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Simplifying (3a * 5) + 1(3x + -2) = 0 Reorder the terms for easier multiplication: (3 * 5a) + 1(3x + -2) = 0 Multiply 3 * 5 (15a) + 1(3x + -2) = 0 Reorder the terms: (15a) + 1(-2 + 3x) = 0 (15a) + (-2 * 1 + 3x * 1) = 0 (15a) + (-2 + 3x) = 0 Reorder the terms: -2 + (15a) + 3x = 0 Solving -2 + (15a) + 3x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + (15a) + 2 + 3x = 0 + 2 Reorder the terms: -2 + 2 + (15a) + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + (15a) + 3x = 0 + 2 (15a) + 3x = 0 + 2 Combine like terms: 0 + 2 = 2 (15a) + 3x = 2 Add '-3x' to each side of the equation. (15a) + 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 (15a) + 0 = 2 + -3x (15a) = 2 + -3x Divide each side by '15'. a = 0.1333333333 + -0.2x Simplifying a = 0.1333333333 + -0.2x
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