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Simplifying 7a + -5(3a + 5) = -6a + -33 Reorder the terms: 7a + -5(5 + 3a) = -6a + -33 7a + (5 * -5 + 3a * -5) = -6a + -33 7a + (-25 + -15a) = -6a + -33 Reorder the terms: -25 + 7a + -15a = -6a + -33 Combine like terms: 7a + -15a = -8a -25 + -8a = -6a + -33 Reorder the terms: -25 + -8a = -33 + -6a Solving -25 + -8a = -33 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -25 + -8a + 6a = -33 + -6a + 6a Combine like terms: -8a + 6a = -2a -25 + -2a = -33 + -6a + 6a Combine like terms: -6a + 6a = 0 -25 + -2a = -33 + 0 -25 + -2a = -33 Add '25' to each side of the equation. -25 + 25 + -2a = -33 + 25 Combine like terms: -25 + 25 = 0 0 + -2a = -33 + 25 -2a = -33 + 25 Combine like terms: -33 + 25 = -8 -2a = -8 Divide each side by '-2'. a = 4 Simplifying a = 4
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