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Simplifying 64(t + 4) = 84t Reorder the terms: 64(4 + t) = 84t (4 * 64 + t * 64) = 84t (256 + 64t) = 84t Solving 256 + 64t = 84t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-84t' to each side of the equation. 256 + 64t + -84t = 84t + -84t Combine like terms: 64t + -84t = -20t 256 + -20t = 84t + -84t Combine like terms: 84t + -84t = 0 256 + -20t = 0 Add '-256' to each side of the equation. 256 + -256 + -20t = 0 + -256 Combine like terms: 256 + -256 = 0 0 + -20t = 0 + -256 -20t = 0 + -256 Combine like terms: 0 + -256 = -256 -20t = -256 Divide each side by '-20'. t = 12.8 Simplifying t = 12.8
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