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Simplifying 2a + 45 + -2.5(4a + 21) = (a + 2a + 44) Reorder the terms: 2a + 45 + -2.5(21 + 4a) = (a + 2a + 44) 2a + 45 + (21 * -2.5 + 4a * -2.5) = (a + 2a + 44) 2a + 45 + (-52.5 + -10a) = (a + 2a + 44) Reorder the terms: 45 + -52.5 + 2a + -10a = (a + 2a + 44) Combine like terms: 45 + -52.5 = -7.5 -7.5 + 2a + -10a = (a + 2a + 44) Combine like terms: 2a + -10a = -8a -7.5 + -8a = (a + 2a + 44) Reorder the terms: -7.5 + -8a = (44 + a + 2a) Combine like terms: a + 2a = 3a -7.5 + -8a = (44 + 3a) Remove parenthesis around (44 + 3a) -7.5 + -8a = 44 + 3a Solving -7.5 + -8a = 44 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -7.5 + -8a + -3a = 44 + 3a + -3a Combine like terms: -8a + -3a = -11a -7.5 + -11a = 44 + 3a + -3a Combine like terms: 3a + -3a = 0 -7.5 + -11a = 44 + 0 -7.5 + -11a = 44 Add '7.5' to each side of the equation. -7.5 + 7.5 + -11a = 44 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + -11a = 44 + 7.5 -11a = 44 + 7.5 Combine like terms: 44 + 7.5 = 51.5 -11a = 51.5 Divide each side by '-11'. a = -4.681818182 Simplifying a = -4.681818182
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