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Simplifying 4 + 3(2t + -5) + -3(4t + 7) + -10 = 0 Reorder the terms: 4 + 3(-5 + 2t) + -3(4t + 7) + -10 = 0 4 + (-5 * 3 + 2t * 3) + -3(4t + 7) + -10 = 0 4 + (-15 + 6t) + -3(4t + 7) + -10 = 0 Reorder the terms: 4 + -15 + 6t + -3(7 + 4t) + -10 = 0 4 + -15 + 6t + (7 * -3 + 4t * -3) + -10 = 0 4 + -15 + 6t + (-21 + -12t) + -10 = 0 Reorder the terms: 4 + -15 + -21 + -10 + 6t + -12t = 0 Combine like terms: 4 + -15 = -11 -11 + -21 + -10 + 6t + -12t = 0 Combine like terms: -11 + -21 = -32 -32 + -10 + 6t + -12t = 0 Combine like terms: -32 + -10 = -42 -42 + 6t + -12t = 0 Combine like terms: 6t + -12t = -6t -42 + -6t = 0 Solving -42 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -6t = 0 + 42 Combine like terms: -42 + 42 = 0 0 + -6t = 0 + 42 -6t = 0 + 42 Combine like terms: 0 + 42 = 42 -6t = 42 Divide each side by '-6'. t = -7 Simplifying t = -7
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