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Simplifying -5(9a + 3) = 2a + 1 Reorder the terms: -5(3 + 9a) = 2a + 1 (3 * -5 + 9a * -5) = 2a + 1 (-15 + -45a) = 2a + 1 Reorder the terms: -15 + -45a = 1 + 2a Solving -15 + -45a = 1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -15 + -45a + -2a = 1 + 2a + -2a Combine like terms: -45a + -2a = -47a -15 + -47a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 -15 + -47a = 1 + 0 -15 + -47a = 1 Add '15' to each side of the equation. -15 + 15 + -47a = 1 + 15 Combine like terms: -15 + 15 = 0 0 + -47a = 1 + 15 -47a = 1 + 15 Combine like terms: 1 + 15 = 16 -47a = 16 Divide each side by '-47'. a = -0.3404255319 Simplifying a = -0.3404255319
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