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Simplifying 2a + 6(a + 3b + -4) + -10(4a + -2b) + 21 = 0 Reorder the terms: 2a + 6(-4 + a + 3b) + -10(4a + -2b) + 21 = 0 2a + (-4 * 6 + a * 6 + 3b * 6) + -10(4a + -2b) + 21 = 0 2a + (-24 + 6a + 18b) + -10(4a + -2b) + 21 = 0 2a + -24 + 6a + 18b + (4a * -10 + -2b * -10) + 21 = 0 2a + -24 + 6a + 18b + (-40a + 20b) + 21 = 0 Reorder the terms: -24 + 21 + 2a + 6a + -40a + 18b + 20b = 0 Combine like terms: -24 + 21 = -3 -3 + 2a + 6a + -40a + 18b + 20b = 0 Combine like terms: 2a + 6a = 8a -3 + 8a + -40a + 18b + 20b = 0 Combine like terms: 8a + -40a = -32a -3 + -32a + 18b + 20b = 0 Combine like terms: 18b + 20b = 38b -3 + -32a + 38b = 0 Solving -3 + -32a + 38b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -32a + 3 + 38b = 0 + 3 Reorder the terms: -3 + 3 + -32a + 38b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -32a + 38b = 0 + 3 -32a + 38b = 0 + 3 Combine like terms: 0 + 3 = 3 -32a + 38b = 3 Add '-38b' to each side of the equation. -32a + 38b + -38b = 3 + -38b Combine like terms: 38b + -38b = 0 -32a + 0 = 3 + -38b -32a = 3 + -38b Divide each side by '-32'. a = -0.09375 + 1.1875b Simplifying a = -0.09375 + 1.1875b
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